Pre-Algebra Examples

$y = 2 x^{2} + 8 x + 7$

Step 1

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

$y = 2 {(0)}^{2} + 8 (0) + 7$

Step 2

Solve the equation.

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Step 2.1

Remove parentheses.

$y = 2 \cdot 0^{2} + 8 (0) + 7$

Step 2.2

Remove parentheses.

$y = 2 {(0)}^{2} + 8 (0) + 7$

Step 2.3

Simplify $2 {(0)}^{2} + 8 (0) + 7$ .

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

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

$y = 2 \cdot 0 + 8 (0) + 7$

Step 2.3.1.2

Multiply $2$ by $0$ .

$y = 0 + 8 (0) + 7$

Step 2.3.1.3

Multiply $8$ by $0$ .

$y = 0 + 0 + 7$

Step 2.3.2

Simplify by adding numbers.

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Step 2.3.2.1

Add $0$ and $0$ .

$y = 0 + 7$

Step 2.3.2.2

Add $0$ and $7$ .

$y = 7$

Step 3

y-intercept(s) in point form.

y-intercept(s): $(0, 7)$

Step 4