Answer:
see below
Step-by-step explanation:
g(x) = (x+2)^2 -1
The function is in the form
g(x) = a(x-h)^2 +k
where (h,k) is the vertex of the parabola
Rewriting
g(x) = (x+2)^2 -1
= (x--2)^2 + -1
The vertex is (-2,-1)
We can find another point by letting x =0
g(0) = (0+2)^2 -1
=2^2 -1
=4-1 =3
The second point is (0,3)
Answer:
6 units
Step-by-step explanation:
Remember the formula for the area of a rectangle: A = lw
What we know:
A=48
w = l-2
Substitute A for 48 and w for l-2 into the equation
A = lw
48 = l(l-2) Use the distributive property. Multiply over the brackets.
48 = l² - 2l
Rearrange the equation to standard form (0 = ax² + bx + c) to use quadratic formula.
0 = l² - 2l - 48
a = 1 ; b = -2 ; c = -48 State the variables for the quadratic formula
Substitute a, b and c to find the length:
Simplify
Split the equation at the ± for adding and subtracting. Then decide which answer is correct, or if both of them are possible answers.
This is "inadmissable", or impossible because the length can't be a negative value.
Length of the rectangle
Use the formula for the area of a rectangle
Substitute the length and area, then isolate "w" for the width
A = lw
48 = (8)w
48/8 = w
w = 6
Therefore the length of the rectangle is 6 units.