What is the distance between points A(1,9)and(4,-2)
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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: 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:
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