# How are the graphs #f(x)=x^2# and #g(x)=4(x-3)^2# related?

graph{x^2 [-10, 10, -5, 5]}

graph{4(x-3)^2 [-10, 10, -5, 5]}

By signing up, you agree to our Terms of Service and Privacy Policy

The graphs of ( f(x) = x^2 ) and ( g(x) = 4(x-3)^2 ) are related by a vertical stretch and a translation. Specifically, the graph of ( g(x) ) is obtained by stretching the graph of ( f(x) ) vertically by a factor of 4 and then translating it 3 units to the right.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you know if # cosx sinx# is an even or odd function?
- How do you find vertical, horizontal and oblique asymptotes for #(3x^2 + 4)/(x+1)#?
- How do you determine if #f(x) = 0.7x^2 + 3# is an even or odd function?
- How do you find the inverse of #f(x) =x^3-2#?
- How do you find the composition of function given #f(x)= sqrt (x+8)# and #g(x)= 4x + 1#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7