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Solved on Sep 05, 2023

Evaluate $f(x)=(x-5)^{2}$ at $x=3$ , then graph the function using the point $(3, f(3))$ .

STEP 1

Assumptions1. The function is $f(x)=(x-5)^{}$ . We need to evaluate the function for $x=3$
3. We need to use the result to graph the function

STEP 2

First, we need to substitute $x=$ into the function $f(x)=(x-5)^{2}$ .
$f() = (-5)^{2}$

STEP 3

Now, calculate the value inside the brackets.
$f(3) = (-2)^{2}$

STEP 4

Calculate the square of -2.
$f(3) =4$

STEP 5

Now that we have the value of $f(3)$ , we can form an ordered pair $(3, f(3))$ .
$(3, f(3)) = (3,4)$

STEP 6

To graph the function, we plot the point (3,4) on a coordinate plane. The x-coordinate is3 and the y-coordinate is4.

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