Pre-Algebra Examples

$y = - 2 x^{2} + 24 x - 100$

Step 1

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

$y = - 2 {(0)}^{2} + 24 (0) - 100$

Step 2

Solve the equation.

Tap for more steps...

Step 2.1

Remove parentheses.

$y = - 2 \cdot 0^{2} + 24 (0) - 100$

Step 2.2

Remove parentheses.

$y = - 2 {(0)}^{2} + 24 (0) - 100$

Step 2.3

Simplify $- 2 {(0)}^{2} + 24 (0) - 100$ .

Tap for more steps...

Step 2.3.1

Simplify each term.

Tap for more steps...

Step 2.3.1.1

Raising $0$ to any positive power yields $0$ .

$y = - 2 \cdot 0 + 24 (0) - 100$

Step 2.3.1.2

Multiply $- 2$ by $0$ .

$y = 0 + 24 (0) - 100$

Step 2.3.1.3

Multiply $24$ by $0$ .

$y = 0 + 0 - 100$

Step 2.3.2

Simplify by adding and subtracting.

Tap for more steps...

Step 2.3.2.1

Add $0$ and $0$ .

$y = 0 - 100$

Step 2.3.2.2

Subtract $100$ from $0$ .

$y = - 100$

Step 3

y-intercept(s) in point form.

y-intercept(s): $(0, - 100)$

Step 4