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Which parabola has exactly one
x-intercept?
Choose 1 answer:
(A)
(B)
(C)

Which parabola has exactly one $x$ -intercept? $\newline$ Choose $1$ answer: $\newline$ (A) $\newline$ (B) $\newline$ (C)

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Find the vertex of a parabola

Full solution

Q. Which parabola has exactly one

x

-intercept?

\newline

Choose

1

answer:

\newline

(A)

\newline

(B)

\newline

(C)

Parabola Vertex Condition: A parabola with exactly one $x$ -intercept has its vertex on the $x$ -axis.
General Form: The general form of a parabola is $y = ax^2 + bx + c$ .
Discriminant Requirement: For a parabola to have one $x$ -intercept, the discriminant $(b^2 - 4ac)$ must be zero.
Check Parabola Options: Check the discriminant for each parabola option $(A)$ , $(B)$ , and $(C)$ .
Discriminant Check: If the discriminant is $0$ , that parabola has exactly one $x$ -intercept.
Option (A) Result: Option (A) has a discriminant of $0$ , so it has exactly one $x$ -intercept.

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\newline

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Question

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. What are the center and radius of the circle?

\newline

1

\newline

(A) The center is

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and the radius is

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\newline

(B) The center is

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and the radius is

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Question

y=(x-3)(x+9)

\newline

The given equation is graphed in the

x y

-plane. Which of the following are

x

-intercepts of the graph?

\newline

1

\newline

-3

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\newline

-3

9

\newline

3

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Question

y=2 x^{2}-5 x+7

is graphed in the

x y

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\newline

1

\newline

x

\newline

y

\newline

x

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\newline

y

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