Answerilll help ya so it's a
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 22x + 3
Factor out the negative
f(x) = -( 16x^2 -22x -3)
= -(8x+1)(2x-3)
Find the x intercepts
Set y = 0
0 = -(8x+1)(2x-3)
Using the zero product property
8x+1 =0 2x-3 = 0
8x = -1 2x = 3
x = -1/8 x =3/2
The x intercepts are ( -1/8, 0) and ( 3/2, 0)
The end behavior
-16 x^2 is the dominate term
Let x →-∞
f(-∞) = -16 (-∞)^2 = -16 (∞) = -∞
As x goes to negative infinity y goes to - infinity
Let x →∞
f(∞) = -16 (∞)^2 = -16 (∞) = -∞
As x goes to infinity y goes to - infinity
We know this is a downward facing parabola a < 0 and this is a quadratic
We have the x intercepts
We can find the axis of symmetry from the zeros
(-1/8+ 3/2) /2 = (-1/8 + 12/8)/2 = (11/8)/2 = 11/6
The axis of symmetry is x = 11/16
Using the axis of symmetry and the equation, we can find the maximum point
y = -(8*11/16+1)(2*11/16-3) = 169/16
The vertex is at (11/16, 169/16(
Company s. To get your answer do change in y over change in x
Answer:
The parent function is: y = x
First, here we have two types of transformations, and we could define them in a general way as:
if we start with a function f(x)
Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:
g(x) = A*f(x)
Vertical translation:
We can write a vertical translation of A units upwards as:
g(x) = f(x) + A
And a vertical translations of A units down can be written as:
g(x) = f(x) - A.
In this case, the transformations are:
first, a dilation of scale factor 8.
Then a translation down of 21 units
then another translation down of 7 units.
y = 8*X - 21 - 7
y = 8*x - 28.
As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28
Again, as this function is a linear equation there is no vertex.
The width of park is
miles.
Step-by-step explanation:
Given,
Area of park = 
Length of park = 
Let,
w be the width of park.
Area = Length * Width

Multiplying both sides by 

The width of park is
miles.
Keywords: area, rectangles
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