f(x)= -4(x-2)^2+7 complete the following. Please show all of your work. 1.If f(x)=7, what is x ? 2.What point(s) from part (i) are on the graph of f ? 3.List the x-intercepts, if any, of the graph of f. 4.List the y-intercept, if there is one, of the graph of f. f(x)=7 ⇒ 7= -4(x - 2)^2 + 7
7 - 7 = -4(x- 2)^2
0 = -4( x - 2 )^2
0/-4 =-4( x - 2)^2/- 4
0 = (x - 2)^2
sqrt0 = x - 2
0 = x - 2
x = 2
2) point ( 2, 7 )
3) x - intercept ⇒ y = 0 ⇒x = 2 ( 2, 7 )
4) y- intercept ⇒ x = 0 ⇒ y = - 4( 0 - 2)^2 + 7 = - 4*2^2 + 7 = - 4*4 + 7 = - 23
y - intercept ( 0, - 23 )