Question

The x-intercept of f(x) is 5. If g(x)=f(x+2), then what is the x-intercept of g(x)?

Answer 1

Answer:

To find the

x- intercept, we set y=0 and solve for x:0=.5x−3

3=.5x

6=x

So. the x-intercept is

(6,0)

To find the

y-intercept, it's a similar system We set x=0 and solve for y this time.

y=.5⋅0−3

y=−3

That was easy :)

So, our y-intercept is (0,−3)

Just to double check our work, let's graph the equation and see the

x and y- intercepts

graph{y=.5x-3}

Yep,

(6,0) and (0,−3). We were right!