AnswersAlgebra Concepts and ConnectionsIntroduction to the Quadratic Formula

Introduction to the Quadratic Formula — Quiz Answers

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1
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What are the values of A , b , and c in the quadratic equation 0 is equal to 1 half x squared minus 3 x minus 2 ?

A
A is equal to 1 half , b is equal to negative 3 , c is equal to negative 2
B
A is equal to 1 half , b is equal to negative 3 , c is equal to 2
C
A is equal to 1 half , b is equal to 3 , c is equal to 2
D
A is equal to 1 half , b is equal to 3 , c is equal to negative 2
3

What are the values of A , b , and c in the quadratic equation negative 2 x squared plus 4 x minus 3 is equal to 0 ?

A
A is equal to negative 2 , b is equal to 4 , c is equal to 3
B
A is equal to 2 , b is equal to 4 , c is equal to 3
C
A is equal to negative 2 , b is equal to 4 , c is equal to negative 3
D
A is equal to 2 , b is equal to 4 , c is equal to negative 3
4

Which is the graph of a quadratic equation that has a positive discriminant?

A
Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. An upward-opening parabola has a vertex at the point negative 1 comma 0. It passes through approximately the points negative 2 comma 1 and 0 comma 1, then continues upward through approximately negative 3 comma 4 and 1 comma 4.
B
Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. An upward-opening parabola has a vertex at the point 0 comma negative 1. It passes through approximately the points negative 1 comma 0 and 1 comma 0, then continues upward through approximately negative 2 comma 3 and 2 comma 3.
C
Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. An upward-opening parabola has a vertex at the point 1 comma 0. It passes through approximately the points 0 comma 1 and 2 comma 1, then continues upward through approximately negative 1 comma 4 and 3 comma 4.
D
Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. An upward-opening parabola has a vertex at the point 0 comma 1. It passes through approximately the points negative 1 comma 2 and 1 comma 2, then continues upward through approximately negative 2 comma 5 and 2 comma 5.
5

Which shows the correct substitution of the values a, b, and c from the equation 1=−2⁢x+3⁢x2+1 into the quadratic formula? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

A
x is equal to the fraction with numerator negative negative 2 plus or minus square root of negative 2 squared minus 4 3 1 end root and denominator 2 times 3
B
x is equal to the fraction with numerator negative 3 plus or minus square root of 3 squared minus 4 negative 2 0 end root and denominator 2 times negative 2
C
x is equal to the fraction with numerator negative negative 2 plus or minus square root of negative 2 squared minus 4 3 0 end root and denominator 2 times 3
D
x is equal to the fraction with numerator negative negative 2 plus or minus square root of negative 2 squared minus 4 3 2 end root and denominator 2 times 3
10

Which shows the correct substitution of the values a, b, and c from the equation 0=−3⁢x2−2⁢x+6 into the quadratic formula? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

A
x is equal to the fraction with numerator negative negative 2 plus or minus square root of negative 2 squared minus 4 negative 3 6 end root and denominator 2 times negative 3
B
x is equal to the fraction with numerator negative 2 plus or minus square root of 2 squared minus 4 3 6 end root and denominator 2 times 3
C
x is equal to the fraction with numerator negative negative 2 plus or minus square root of negative 2 squared minus 4 3 6 end root and denominator 2 times 3
D
x is equal to the fraction with numerator negative 2 plus or minus square root of 2 squared minus 4 negative 3 6 end root and denominator 2 times negative 3

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