15
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 15 • 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 plus 7
B
y is equal to open paren x minus 7 close paren squared minus 7
C
y is equal to open paren x minus 7 close paren squared

Explanation

Each equation is a parabola opening upward because the squared term has a positive coefficient. In choice A, the vertex is at (7, 7), so the graph’s lowest y-value is 7 and it stays entirely above the x-axis. Choice C touches the x-axis at its vertex, so it is not entirely above it.

AI-written and checked against the verified answer.

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