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6 hours ago **Quadratic** Functions **Quiz** Score: ____ out of 42 Part One: Multiple Choice (2 points each.) Identify the choice that best completes the statement or answers the question. ____ 1. Tell whether the graph of the **quadratic** function opens upward or downward. Explain. 1) Because , the parabola opens downward. 2) Because , the parabola opens downward.

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Just Now **equation**: y = (x + 3) (2x + 1) Zero Product Property Complete the Square 10 What method would you use to solve the **equation**: y = 4x2 + 10 Square Roots Method **Quadratic Formula** 11 What method would you use to solve the **equation**: y = x2 + 10x + 3 Square Roots Method Complete the Square 12 The discriminant is 24. How many and

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9 hours ago Solve the **quadratic equation** by completing the square. ____ 6. x2 10x 22 0 a. 5r 27 c. 100r3 b. 5r3 d. 10r 27 ____ 7. The function y 16t2 248 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second.

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4 hours ago Solve by completing the square (or you could always use the **quadratic formula**) 10. Find the value of C for the following. 49 -49 7 -7 . Title: Quadratics **Quiz** 1 Author: cmitchell Last modified by: cmitchell Created Date: 11/2/2010 5:49:00 PM Company: mvusd Other titles: Quadratics **Quiz** 1

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2 hours ago Directions: Solve each **quadratic equation** using the **quadratic formula**. (We did not go over this section yet but try them out!) SOLVING **QUADRATIC EQUATIONS** USING THE **QUADRATIC FORMULA** 2+ + =0 𝒙= − ±√ 𝟐−𝟒 𝟐 Steps: 1. Get all terms on one side and set equal to 0 2. Plug in the a, b and c into the **equation** 3.

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8 hours ago Using the **Quadratic Formula** Date_____ Period____ Solve each **equation** with the **quadratic formula**. 1) m2 − 5m − 14 = 0 2) b2 − 4b + 4 = 0 3) 2m2 + 2m − 12 = 0 4) 2x2 − 3x − 5 = 0 5) x2 + 4x + 3 = 0 6) 2x2 + 3x − 20 = 0 7) 4b2 + 8b + 7 = 4 8) 2m2 − 7m − 13 = −10-1- ©d n2l0 81Z2 W 1KDuCt8a D ESZo4fIt UwWahr Ze j eL 1L NCS.f R

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3 hours ago Use the **quadratic formula** to solve the **equation**. 17) 2x2 = -5x - 7 A) 5 + 31 4, 5 - 31 4 B)-5 + i31 4, -5 - i31 4 C) 5 + i31 4, 5 - i31 4 D)-5 + 31 4, -5 - 31 4 17) Use the discriminant to determine whether the **equation** has two rational solutions, one rational solution, two irrational

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1 hours ago Use the **equation** 0 = 2x2 – 12x + 16. Use the given method to solve the **quadratic equation**. Show all appropriate algebra steps. a. Complete the Square method b. **Quadratic Formula Test** Score: Multiple choice points earned (90 points possible) + Constructed response points earned (10 points possible) = **Test** Score Earned (100 points possible)

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7 hours ago **Quiz** Graphing **Quadratic** Functions Identify the values of a, b, and c for the **quadratic** function in standard form y = −8x2 + 6x − 2 2) Which of the following **quadratic** functions C) y = 0.5 x2 − 9x + 6 D) y = 16 x2 + 14 x + 9 3) Which of the following is the **equation** for

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8 hours ago U3S13: I can find the roots of **quadratic equations** by factoring. I can write a **quadratic equation** given the roots Solve each **equation** by factoring. 3) x2 + 4x - 21 = 04) x2 - 9 = 0 5) x2 + 16 = -10x 6) 7b2 = -28b - 21 7) Write the standard form of a **quadratic equation** with roots of -6 and 4.

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6 hours ago **Quadratic Equations** Practice **Test .** Technology Free . Part 1 Multiple Choice 10 marks . Circle the correct response. 1. An example of a **quadratic** expression is . A. 2x + 4 B. 3 x – 2 C. 2 3x + 1 D. x −2 E. x4 + 2x2 – 1 . 2. (3 2)x+ 2 in expanded form is . A. 3 64. x x. 2 ++ B. 94. x. 2 + C. 3 12 4. xx. 2 + + D. 9 12 4. xx. 2 + + E. 9 64

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3 hours ago To play this **quiz**, please finish editing it. 10 Questions Show answers. Question 1. SURVEY. 120 seconds. Q. Determine the values of a, b, and c for the **quadratic equation**: 4x 2 – 8x = 3. answer choices.

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1 hours ago 10/8/2020 The **Quadratic Formula Quiz** … 1/3 The **Quadratic Formula Quiz** Brooke Heilman is taking this assessment. 1. Solve using the **Quadratic Formula**. x 2 + 9 x − 13 = 0 (1 point) 2. Determine the type and number of solutions of −4 x 2 − 4 x − 1 = 0. (1 point) two real solutions one real solution two imaginary solutions 3.

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3 hours ago Forming and Solving **Quadratic Equations** Exam Questions Q1. Here is a trapezium. All measurements are in centimetres. The area of the trapezium is 60 cm2 Show that 23x + 10x − 117 = 0 (3) (b) Work out the value of x Show your working clearly.

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6 hours ago Chapter 13 . 359 . C. USE THE PERFECT SQUARE **FORMULA** . In order for us to be able to apply the square root property to solve a **quadratic equation**, we cannot have

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8 hours ago The **quadratic formula** You may recall the **quadratic formula** for roots of **quadratic** polynomials ax2 + bx + c. It says that the solutions to this polynomial are b p b2 4ac 2a: For example, when we take the polynomial f (x) = x2 3x 4, we obtain 3 p 9 + 16 2 which gives 4 and 1. Some quick terminology I We say that 4 and 1 are roots of the

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7 hours ago A **quadratic equation** in is an **equation** that may be written in the standard **quadratic** form if . There are four different methods used to solve **equations** of this type. Factoring Method If the **quadratic** polynomial can be factored, the Zero Product Property may be used. This property states that when the product of two factors equals zero, then at

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**Completing the square**

- Put the equation into the form ax 2 + bx = – c.
- Make sure that a = 1 (if a ≠ 1, multiply through the equation by before proceeding).
- Using the value of b from this new equation, add to both sides of the equation to form a perfect square on the left side of the equation.
- Find the square root of both sides of the equation.
- Solve the resulting equation.

- f ( x) = a ( x − h) 2 + k {displaystyle f (x)=a (x-h)^ {2}+k}
- If your function is already given to you in this form, you just need to recognize the variables a {displaystyle a} , h {displaystyle h} and k {displaystyle k} . ...
- To review how to complete the square, see Complete the Square.

- The roots of quadratic equation are equal in magnitude but of opposite sign if b = 0 and ac < 0
- The root with greater magnitude is negative if the sign of a = sign of b × sign of c
- If a > 0, c < 0 or a > 0, c > 0; the roots of quadratic equation will have opposite sign
- If y = ax2+ bx + c is positive for all real values of x, a > 0 and D < 0

**To convert it to standard form, we need to take a few steps:**

- 3x 2 + 7x – 3 = x 2 + 2x + 6 [original equation]
- 2x 2 + 7x – 3 = 2x + 6 [after subtracting x 2 from both sides]
- 2x 2 + 5x – 3 = 6 [after subtracting 2x from both sides]
- 2x 2 + 5x – 9 = 0 [after subtracting 6 from both sides]