Answer:
Step-by-step explanation:
Vertex form of a quadratic equation;
Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;
Now substitute in the given point; ( -1, 9) and solve for a;
Hence the equation in vertex form is;
In standard form it is;
Answer:
"The quotient of the opposite of a number squared and 3"
Take "the opposite of a number squared" and call it y.
So you get "The quotient of y and 3"
This is y/3.
Now what is y? "The opposite of a number squared"
Take "The opposite of a number" and call it z.
So y is "z squared"
Replacing y, we get z^2 / 3
But what is z? "The opposite of a number"
Call "a number" x.
The opposite of x is -x.
So z is "-x"
Replacing z, we get (-x)^2 / 3
Answer:
slope = 40
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (2, 80) and (x₂, y₂ ) = (4, 160) ← 2 points on the line
m = 
= 
= 
= 40
Answer:
-2x-14
Step-by-step explanation:
Answer:
30.23944
Step-by-step explanation:
