find the x-intercept of the parabola with vertex(3,-2 and y-intercept(0,7).write your answer in this form:(x1,y1),(x2,y2).if necessary, round to the nearest hundredth.

Question

find  the x-intercept of the parabola with vertex(3,-2 and y-intercept(0,7).write your answer in this form:(x1,y1),(x2,y2).if necessary, round to the nearest hundredth.

anonymous · Answer

can ya help please!!!!!!!!!!

mertsj · Answer

Well we know that the equation is:
$$y=a(x-3)^2+2$$

mertsj · Answer

And we know the point (0,7) is on the parabola so we can substitute those for x and y and solve for a:
$$7=a(0-3)^2+2$$
Can you solve that for a?

mertsj · Answer

Whoops.  I have a sign error.  It should be:
$$7=a(x-3)^2-2$$

mertsj · Answer

Solve that for a