The graph of `f\left(x\right)=x^{2}`was translated `2.5` units to the left to create the graph of function `g`. Which function function represents `g`?

Question

g(x)=x^{2}-2.5
g(x)=x^{2}+2.5
g(x)=\left(x-2.5\right)^{2}
g(x)=\left(x+2.5\right)^{2}

Answer 1

g(x)=(x+2.5)^{2}

Answer 2

Which answer choice describes how the graph of `f(x)=x^{2}` was transformed to create the graph of `h(x)=x^{2}-1`?

Answer 3

The graph of `f(x) = x^{2}` was transformed downward by 1 unit to create the graph of `h(x) = x^{2}-1`.

So, the answer choice that describes this transformation is: h(x)=x^{2}-1

Answer 4

The graph of `f\left(x\right)=x^{2}`is shown on the grid. Which statement about the relationship between the graph of `f`and the graph of `g(x)=5x^{2}` is true?

Answer 5

Since the function `g(x) = 5x^2` is a vertical stretch of the function `f(x) = x^2` by a factor of 5, the true statement about the relationship between the graphs of `f` and `g` is:

The graph of `g(x) = 5x^2` is steeper than the graph of `f(x) = x^2`.