Find the x and y Intercepts y=(x-2)^2

$y = {(x - 2)}^{2}$

Step 1

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = {(x - 2)}^{2}$

Solve the equation.

Rewrite the equation as ${(x - 2)}^{2} = 0$ .

${(x - 2)}^{2} = 0$

Set the $x - 2$ equal to $0$ .

$x - 2 = 0$

Add $2$ to both sides of the equation.

$x = 2$

x-intercept(s) in point form.

x-intercept(s): $(2, 0)$

Step 2

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = {((0) - 2)}^{2}$

Solve the equation.

Remove parentheses.

$y = {(0 - 2)}^{2}$

Remove parentheses.

$y = {((0) - 2)}^{2}$

Simplify ${((0) - 2)}^{2}$ .

Subtract $2$ from $0$ .

$y = {(- 2)}^{2}$

Raise $- 2$ to the power of $2$ .

$y = 4$

y-intercept(s) in point form.

y-intercept(s): $(0, 4)$

Step 3

List the intersections.

x-intercept(s): $(2, 0)$

y-intercept(s): $(0, 4)$

Step 4