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Let f(z) = z, g(z) = (z-4)\", h(z) \"\" (z-4 ). 7, and p(z)-3(z-4)2 + 7 a. Deter

ID: 2911970 • Letter: L

Question

Let f(z) = z, g(z) = (z-4)", h(z) "" (z-4 ). 7, and p(z)-3(z-4)2 + 7 a. Determine the root(s) of the functions defined above. Enter your answer as a number of string of numbers. Separate multiple answers with commas and if there are no roots write DNE. (For example, if the roots are 3 and 4 enter 3,4) The root(s) of f: The root(s) ofg:[ Preview The root(s) of h: The root(s) of p: Preview | 1 Preview! Preview b. Determine the axis of symmetry of each of the functions defined above. Enter your answer as a number. (For example if the axis of symmetry is x=3.5, enter 3.5.) The axis of symmetry of Preview The axis of symmetry of g : Preview The axis of symmetry of h:a Preview The axis of symmetry of p: Preview Points possible: 10 Unlimited attempts. Post this question to forum License 13 MacBook Pró

Explanation / Answer

f(x)=x2

roots

f(x)=0

x2=0

x=0

Axis of symmetry, x=0

g(x)= (x-4)2

roots

g(x)=0

(x-4)2=0

x=4

Axis of symmetry, x=4

h(x)=(x-4)2+7

Roots, h(x)=0

(x-4)2=-7

x-4=+-i sqrt7

No roots

Axis of symmetry, x=4

p(x)=3(x-4)2+7

Roots

p(x) =0

3(x-4)2=-7

No roots

Axis of symmetry, x=4