Introduction to the Quadratic Formula

Question 1

What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form? a = b = c =

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Part 1: -7; Part 2: 1; Part 3: 4

Question 2

Question 6

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82021

Question 3

Consider the function f(x) = 3x2 + 7x + 2. What is the value of the discriminant? How many x-intercepts does this function have? What are the number of zeros for this function?

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25; Selection 1: 25; Selection 2: 2; Selection 3: two real number solutions

Question 4

Which graph shows a quadratic function with a discriminant value of 0?

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Option D

Question 5

Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that apply. –51

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–5; Answer image: https://r18.core.learn.edgenuity.com//media.edgenuity.com/EVresources/27040d0963c5d0c6eb4b17dfe28a4c75.png

Question 6

Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions?

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–5

Question 7

Describe how to derive the quadratic formula from a quadratic equation in standard form.

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To derive the quadratic formula, start with the standard form of a quadratic equation, ax^2 + bx + c = 0. Divide the entire equation by a, then move the constant term c to the other side. Complete the square by adding (b/2a)^2 to both sides of the equation. This allows you to factor the left side as a perfect square trinomial. Finally, take the square root of both sides and isolate x to arrive at the quadratic formula.

Question 8

Question 12

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2

Question 9

Question 14

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two real number solutions

Introduction to the Quadratic Formula Answers

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