Question

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

Answer 1

Answer:

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) = $3 x^{2}-2 x-8 \text { is }-8$

Answer 2

Answer:

-8

Step-by-step explanation:

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

f(0) = 3(0)² -2(0) -8 = - 8