Question

Find the y-intercept of f(x)=3x^2 -2x-8

Answer 1

-8

Explanation:

y-intercept of f(x)=3x^2 -2x-8 when : x =0

f(0) = 3(0)² -2(0) -8 = - 8

Answer 2

The y-intercept of y = f(x) =
`3x^2-2x-8` is -8.

Solution:

From question, given equation is f(x) =
`3 x^(2)-2 x-8`

We have to find the y-intercept of the above equation

The y-intercept of the graph is the point where the function crosses the y-axis. The x-value is equal to zero for every point on the y-axis.

From question given that

`y=f(x)=3 x^(2)-2 x-8` --- eqn 1

On substituting x = 0 in equation (1), the above equation becomes

`y=3(0)^(2)-2(0)-8`

On simplifying, we get

y = 0-0-8

y = -8

So the y-intercept of f(x) =
`3 x^(2)-2 x-8 \text { is }-8`