Respuesta :
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
Answer:
The y-intercept of y = f(x) = [tex]3x^2-2x-8[/tex] is -8.
Solution:
From question, given equation is f(x) = [tex]3 x^{2}-2 x-8[/tex]
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
[tex]y=f(x)=3 x^{2}-2 x-8[/tex] --- eqn 1
On substituting x = 0 in equation (1), the above equation becomes
[tex]y=3(0)^{2}-2(0)-8[/tex]
On simplifying, we get
y = 0-0-8
y = -8
So the y-intercept of f(x) = [tex]3 x^{2}-2 x-8 \text { is }-8[/tex]