Answer:
GCF: x^3y^3
Step-by-step explanation:
We have been given that function
is a transformation of the quadratic parent function
. We are asked to find the y-intercept of function g.
We know that the function
is an upward opening parabola with vertex at point (0,0).
We know that vertex form of a parabola is in form
, where point (h,k) represents vertex of parabola.
We can rewrite g(x) as:

The vertex of the function g(x) is at point (0,2).
We know that the vertex of a function is the point, when x is equal to 0. Therefore, the y-intercept of the g is at (0,2).
Answer:
Step-by-step explanation:
add the z's and make both sides of the equation equal
Answer: First option.
Step-by-step explanation:
You know that the following function model the height "h" of the ball (in feet) after a time "t" (in seconds):
Notice that it is a Quadratic function, therefore, it is a parabola.
Then, the x-coordinate of its vertex will give you the time in seconds in which the balll reaches its maximum height and the y-coordinate of the vertex will give you the ball's maximum height.
You can find the x-coordinate of the vertex with this formula:

You can identify that:

Substituting values, you get:
FInally, you must substiute this value into the Quadratic function and then evaluate in order to find the ball's maximum height.
This is: