How to find the y-intercept of a quadratic function?

The x-intercept of a line is that point where it cuts the x-axis of the graph, and the y-intercept of a line is that point where it cuts the y-axis of the graph.

Answer: To find the y-intercept of a line, we substitute x = 0 in the equation and find the corresponding value of y.

Let us proceed step by step.

Explanation:

There are few steps to determine the y-intercept of a quadratic function.

• Step 1: Put the value of x as 0.
• Step 2: Solve the equation and get the value of y.
• Step 3: Write y-intercept as (0, y1) and (0, y2).

Let's understand the problem with the help of an example.

Let's find the x-intercepts of y = x² - 5x + 6

To find the x-intercept, put y = 0.

Hence, x² - 5x + 6 = y

Substituting x as 0 we get,

y = 0 - 0 + 6

y = 6

The y-intercepts of y = x² - 5x + 6 is (0, 6)

Hence, to find the y-intercept of a line, we substitute x = 0 in the equation and find the corresponding value of y.