Pre-Algebra Examples

$y = 9 x^{2} + 6 x - 3$

Step 1

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

$y = 9 {(0)}^{2} + 6 (0) - 3$

Step 2

Solve the equation.

Tap for more steps...

Step 2.1

Remove parentheses.

$y = 9 \cdot 0^{2} + 6 (0) - 3$

Step 2.2

Remove parentheses.

$y = 9 {(0)}^{2} + 6 (0) - 3$

Step 2.3

Simplify $9 {(0)}^{2} + 6 (0) - 3$ .

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 $0$ .

$y = 9 \cdot 0 + 6 (0) - 3$

Step 2.3.1.2

Multiply $9$ by $0$ .

$y = 0 + 6 (0) - 3$

Step 2.3.1.3

Multiply $6$ by $0$ .

$y = 0 + 0 - 3$

Step 2.3.2

Simplify by adding and subtracting.

Tap for more steps...

Step 2.3.2.1

Add $0$ and $0$ .

$y = 0 - 3$

Step 2.3.2.2

Subtract $3$ from $0$ .

$y = - 3$

Step 3

y-intercept(s) in point form.

y-intercept(s): $(0, - 3)$

Step 4