Quadratic Functions Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy

Find the

y

-intercept of

f(x) = 3x^2 - 2x + 5

Solution

1
The $y$ -intercept occurs when $x = 0$ : $f(0) = 5$ .
2
The $y$ -intercept is $(0, 5)$ .

Answer

(0, 5)

For any function, the

y

-intercept is the value when

x = 0

. In

f(x) = ax^2 + bx + c

, the

y

-intercept is always

c

About Quadratic Functions

A quadratic function is a polynomial function of degree 2, written as $f(x) = ax^2 + bx + c$ with $a \neq 0$ , whose graph is a U-shaped curve called a parabola that opens upward when $a > 0$ or downward when $a < 0$ .

Learn more about Quadratic Functions →

More Quadratic Functions Examples

Example 1 easy

Find the vertex of [formula].

Example 2 medium

Does the parabola [formula] open upward or downward? Find its maximum value.

Example 3 medium

Find the vertex and axis of symmetry of [formula].

Example 5 medium

Find the zeros of [formula].

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Related Concepts

Linear Functions Exponents Quadratic Formula Polynomials