70,538 views
34 votes
34 votes
For the function, find the y-intercept of the graph of the function. f(x)=25x2−49

For the function, find the y-intercept of the graph of the function. f(x)=25x2−49-example-1
User Wololo
by
2.8k points

2 Answers

16 votes
16 votes

The y-intercept of the graph of the function f(x) = 25x² − 49 is (0, -49)

How to determine the y-intercept of the graph of the function.

From the question, we have the following parameters that can be used in our computation:

f(x) = 25x² − 49

The y-intercept of the graph of the function is when

x = 0

Substitute the known values into the equation

f(0) = 25(0)² − 49

Evaluate

f(0) = - 49

Hence. the y-intercept is (0, -49)

User Amit Deshpande
by
3.4k points
23 votes
23 votes

The y-intercept of a graph is the point at which it crosses the y-axis. This point can be found by replacing the variable "x" by 0 in the expression of the function. This is done below:


\begin{gathered} f(0)=25\cdot0^2-49 \\ f(0)=-49 \end{gathered}

The y-intercept of this function is the point (0, -49).

User Rplankenhorn
by
2.6k points