f(x)=(x-2)^(2)-9 At what values of x does the graph of the function intersect the x-axis? Choose 1 answer: (A) x=-5,x=-1 (B) x=5,x=1 (C) x=-5,x=1 (D) x=5,x=-1

Identify Zero Points: Identify when f(x) equals zero to find x-axis intersections. Calculation: Set f(x) = 0. 0 = (x-2)² - 9Solve Equation: Solve the equation for x. Calculation: (x-2)² = 9Apply Square Root: Apply the square root to both sides. Calculation: x-2 = ±3Isolate x: Isolate x in the equation. Calculation: x = 2 ± 3Calculate Values: Calculate the specific values of x. Calculation: x = 2 + 3 = 5 and x = 2 - 3 = -1

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The function is given by: $f(x)=(x-2)^{2}-9$ $\newline$ At what values of $x$ does the graph of the function intersect the $x$ -axis? $\newline$ Choose $1$ answer: $\newline$ (A) $x=-5, x=-1$ $\newline$ (B) $x=5, x=1$ $\newline$ (C) $x=-5, x=1$ $\newline$ (D) $x=5, x=-1$

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Algebra 2

Reflections of functions

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Q. The function is given by:

f(x)=(x-2)^{2}-9

\newline

At what values of

x

does the graph of the function intersect the

x

-axis?

\newline

Choose

1

answer:

\newline

(A)

x=-5, x=-1

\newline

(B)

x=5, x=1

\newline

(C)

x=-5, x=1

\newline

(D)

x=5, x=-1

Identify Zero Points: Identify when $f(x)$ equals zero to find x-axis intersections. $\newline$ Calculation: Set $f(x) = 0$ . $\newline$ $0 = (x-2)^2 - 9$
Solve Equation: Solve the equation for $x$ . $\newline$ Calculation: $(x-2)^2 = 9$
Apply Square Root: Apply the square root to both sides. $\newline$ Calculation: $x-2 = \pm 3$
Isolate x: Isolate $x$ in the equation. $\newline$ Calculation: $x = 2 \pm 3$
Calculate Values: Calculate the specific values of $x$ . $\newline$ Calculation: $x = 2 + 3 = 5$ and $x = 2 - 3 = -1$