Question

1.

Describe how the graph of the function can be obtained from one of the basic graphs. g(x)= -(x-5)2+3 Start with the graph of h(x)=x2. Shift it units. Then reflect it across the and shift it units.

2.

thank you very much. if you could show work or your thought process that would really help me out. thanks again

Answer 1

1)

g(x) = - ( x - 5 )^2 + 3

start with h(X) = x^2

shift it

5 units right

reflect it across the

x axis

and shift it

3 units upwards

2)

y= f(x)

point is ( -14 , 6 )

f(-14) = 6

g(x) = 3 f(x)

plugging x = -14

g(x) = 3 f(-14)

= 3 ( 6)

= 18

so, point is

( - 14 , 18 )