Introduction to the Quadratic Formula

Question 1

common denominator distributive property addition property of equality ✔ multiplication property of equality

Revolt · Accepted Answer

✔ multiplication property of equality

Question 2

Determine the justification for the steps from the derivation of the quadratic formula.

Revolt · Accepted Answer

✔ common denominator; Justification of step A:: common denominator; Justification of step B:: multiplication property of equality

Question 3

Consider the quadratic function f(x) = 2x2 – 8x – 10.

Revolt · Accepted Answer

The x-component of the vertex is .: 2; The y-component of the vertex is .: –18; The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) = .: 144

Question 4

✔ –18X –101418

Revolt · Accepted Answer

✔ –18

Question 5

–161664✔ 144

Revolt · Accepted Answer

✔ 144

Question 6

Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply. 0 = 2x2 – 7x – 90 = x2 – 4x + 40 = 4x2 – 3x – 10 = x2 – 2x – 80 = 3x2 + 5x + 3

Revolt · Accepted Answer

0 = 2x2 – 7x – 9; 0 = 4x2 – 3x – 1; 0 = x2 – 2x – 8

Question 7

Consider the quadratic function f(x) = 2x2 – 8x – 10.

Revolt · Accepted Answer

✔ 2; The x-component of the vertex is .: 2; The y-component of the vertex is .: –18; The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) = .: 144

Introduction to the Quadratic Formula Answers

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