SOLUTION: Let f(x)=x^2 and let g(x)=(x-3)^2 +2 a.) Give the formula for g in terms of f, and describe the relationship between f and g in words. b.) Is g a quadratic function? If so,

Question 922003: Let f(x)=x^2 and let g(x)=(x-3)^2 +2
a.) Give the formula for g in terms of f, and describe the relationship between f and g in words.
b.) Is g a quadratic function? If so, find its standard form and the parameters a, b, and c.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let f(x)=x^2 and let g(x)=(x-3)^2 +2
a.) Give the formula for g in terms of f, and describe the relationship between f and g in words.
g[f(x)] = g[x^2] = (x^2-3)^2 + 2
---------------------------------------
Describtion: Translate f 3 units to the right and raise each point 2 units.
-----------------------------------------------------------
b.) Is g a quadratic function? If so, find its standard form and the parameters a, b, and c.
Ans: Yes, g is quadratic.
g(x) = x^2-6x+9+2 = x^2-6x+11
a = 1
b = 6
c = 11
------------
Cheers,
Stan H.
RELATED QUESTIONS
describe the relationship between the graphs of f and g ? 1.f(x) = cos x g(x) = cos... (answered by lwsshak3)

Let f(x)=(2x^2)/(x^2-1) and g(x)=e^(x^2-4). Solve for x the equation g(x)=16. Find... (answered by MathLover1)

Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following: . a) (g o f)(x) . b)... (answered by glitzgirl_14)

Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following: . a) (g o f)(x) . (answered by pushpaharan)

I don't understand functions, I really need help. 17.) Let f(x)= 5x and g(x)=-2x-3.... (answered by josgarithmetic)

Let f(x) = 3x + 2 and g(x) = 7x + 6 of f*g. Then describe the domain of f*g (isn't it... (answered by ewatrrr)

Let f(x) = 3x^2 and g(x) = x - (2/x) Evaluate: A.)(f-g)(3) B.)(f/g)(3) C.)(g of... (answered by algebrapro18)

Let f(x)= √(x+3) and g(x)=2x^2. Find (f of... (answered by stanbon)

Let f(x)=e^x sketch the graph g(x)=-f(x-2)+3,identify any intercepts and asymptotes... (answered by stanbon)