Answer:
Vertex form
y = -4(x + 3)^2 + 10
Standard form;
y = -4x^2-24x - 26
Step-by-step explanation:
Mathematically, we have the vertex form as
y = a(x-h)^2 + k
(h,k) represents the vertex
We have h as -3 and k as 10
y = a(x+3)^2 + 10
To get a, we substitute any of the points
Let us use (-1,-6)
-6 = a(-1+3)^2 + 10
-6-10 = 4a
4a = -16
a = -16/4
a = -4
So we have the equation as;
y = -4(x+3)^2 + 10
For the standard form;
We expand the vertex form;
y = -4(x + 3)(x + 3) + 10
y = -4(x^2 + 6x + 9) + 10
y = -4x^2 - 24x -36 + 10
y = -4x^2 -24x -26
Answer:
2
Step-by-step explanation:
Answer:
The width of the drawer is 
Step-by-step explanation:
we know that
The volume of the drawer is equal to

we have

-----> the deep of the drawer

substitute the given values in the formula and solve for W




Answer: 8
Step-by-step explanation:
We are going from a smaller triangle to a larger triangle, so the scale factor is greater than 1.
We know scale factor = (image)/(preimage), so the scale factor is 32/4 = 8
Answer: y = 18/32
Step-by-step explanation: Okay the equation is xy = k
You plug in x and y.
(3)(6) = k
18 = k
To get the value of y when x = 32 you plug in 32.
Use this equation now y = k/x
Now it is y = 18/32
And that is your answer!