Answer:

Step-by-step explanation:
Vertex form:
where:
is the vertex
is some constant
Given:
- vertex = (-4, -1)
- point on parabola = (-2, -3)
Substitute given values into the formula to find
:





Therefore, the equation of the parabola is:

Positive add a positive plus positive equals positive neg plus neg equals neg
Answer:
When graphed, the function will have a y-intercept at
(0,-21)
and a vertex at
(2,-25)
Step-by-step explanation:
Answer:
5^2+h^2=12^2, the answer would be ~10.97 ft.
Step-by-step explanation:
I would use the Pythagorean theorem to solve this problem. Put in the things that you know, so in this image we are given one of the legs and the hypotenuse of the triangle.
Pythagorean theorem is :
a^2+b^2=c^2 with a and b being the legs and c being the hypotenuse.
Once you plug in the hypotenuse and one of the legs, solve for the other leg by subtracting a^2 (5^2) from 12^2 (c^2), which will give you 119, and then take the square root of 119 and you will get your answer.
7+5=m(-2-4), 12=-6m, m=-2, y+5=-2(x-4), y=-2x+8-5, y=-2x+3