NO LINKS!!! Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)
2 answers:
General equation of parabola
for vertex(h,k)
Now





So
equation of parabola

Answer:

Step-by-step explanation:
<u>Vertex form of a quadratic equation</u>

where:
- (h, k) is the vertex
- a is some constant
Given:
- vertex = (-2, 6)
- point on parabola = (1, -3)
Substitute the given values into the vertex equation and solve for a:





<u>Vertex form</u>
Substitute the given vertex and the found value of a into the vertex equation:

<u>Standard form</u>
Expand the brackets of the vertex form:


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F(x) = X^2 - 11x - 60
Two terms that multiply to -60 and add to -11 so...
F(x) = (X - 15) (x + 4)
Your x-intercepts would be 15 and -4.

hope this helps
Answer:
20cm
Step-by-step explanation:
Given data
Area= 80cm^2
we know that the expression for the area of a triangle is
A= 1/2B*H
from the given expression 1/2(8h) =80 the base is 8cm
let us substitute to find the height h
1/2(8h) =80
4h=80
h= 80/4
h= 20cm
Hence the heigth h is 20cm