Integrated Math 1
posted by Tifini .
Consider y=x^2+8x+16.
What is the correct way to factor this equation?
How does this equation shift the graph of y=x^2?
A. the correct factored form is y=(x+4)^2. this shifts the graph of y=x^2 up 4 units.
B. the correct factored form is y=(x+4)^2. this shifts the graph of y=x^2 right 4 units.
C. the correct factored form is y=(x+4)^2. this shifts the graph of y=x^2 left 4 units.
D. the correct factored form is y=(x+16)^2. this shifts the graph of y=x^2 up 16 units.
E. the correct factored form is y=(x4)(x+4). this shifts the graph of y=x^2 right 4 units and up 4 units.

The standard graph is y=x^2.
The shifted graph is
y=a(xh)^2+k
which shifts the graph h units to the right, and k units up with a vertical multiplication factor a.
In the given problem,
h=4,
k=0,
a=1.
Try to interpret the results.
Respond to this Question
Similar Questions

PreCalc
I have one more question I don't understand. It's a multiple choice question. I need to pick which of the following describes the steps involved in using the graph of y=3 cos x+3: a. Stretch the graph vertically by a factor of 3 and … 
calculus
Given the graph of f(x) find the graph of 2 f( 3x  2)  4 Is this correct? 
calculus reposted
Given the graph of f(x) find the graph of 2 f( 3x  2)  4 Is this correct? 
Integrated Math 1 (help please??:( )
Consider y=x^2+8x+16. What is the correct way to factor this equation? 
calculus
I have two questions, please help. 1. Determine the quadratic function f whose vertex is (2,1) and passes through (1,1). f(x)=? 
calculus
I have two questions, please help. 1. Determine the quadratic function f whose vertex is (2,1) and passes through (1,1). f(x)=? 
Calculus 1
Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.) (a) y=7f(x) shifts 7 units upward shifts 7 units downward shifts 7 units to the right shifts 7 units to the left stretch the graph vertically … 
Math
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) + 20? 
Algebra 1 Honors
Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) − 5? 
math
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11?