Algebra Examples

$f (x) = (x - 2) + 4$

Step 1

Find the x-intercepts.

Tap for more steps...

Step 1.1

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

$0 = (x - 2) + 4$

Step 1.2

Solve the equation.

Tap for more steps...

Step 1.2.1

Rewrite the equation as $x - 2 + 4 = 0$ .

$x - 2 + 4 = 0$

Step 1.2.2

Add $- 2$ and $4$ .

$x + 2 = 0$

Step 1.2.3

Subtract $2$ from both sides of the equation.

$x = - 2$

Step 1.3

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

Tap for more steps...

Step 2.1

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

$y = ((0) - 2) + 4$

Step 2.2

Solve the equation.

Tap for more steps...

Step 2.2.1

Remove parentheses.

$y = 0 - 2 + 4$

Step 2.2.2

Remove parentheses.

$y = ((0) - 2) + 4$

Step 2.2.3

Simplify $((0) - 2) + 4$ .

Tap for more steps...

Step 2.2.3.1

Subtract $2$ from $0$ .

$y = - 2 + 4$

Step 2.2.3.2

Add $- 2$ and $4$ .

$y = 2$

Step 2.3

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4