Answers Algebra II Quadratics and Complex Numbers — TestQuestion 10

10

QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 10 • Algebra II

Which equation has a graph that lies entirely above the x -axis?

Answer

A

y is equal to open paren x minus 7 close paren squared

B

y is equal to open paren x minus 7 close paren squared minus 7

C

y is equal to negative open paren x plus 7 close paren squared plus 7

D

y is equal to open paren x minus 7 close paren squared plus 7

Explanation

In choice A, y = (x − 7)² + 7. A square is always at least 0, so y is always at least 7, which is greater than 0; therefore its graph stays entirely above the x-axis. Choice C reaches y = 0, while choices B and D have points below the x-axis.

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