SOLUTION: Much appreciated for any help! sketch the graph of the following parabolas. The graph should contain the vertex, the y-intercept, x-intercepts (if any) and at least one point o

Algebra ->  Graphs -> SOLUTION: Much appreciated for any help! sketch the graph of the following parabolas. The graph should contain the vertex, the y-intercept, x-intercepts (if any) and at least one point o      Log On


   

Question 1044567: Much appreciated for any help!
sketch the graph of the following parabolas. The graph should contain the vertex, the y-intercept, x-intercepts (if any) and at least one point on either side of the vertex

A) f(x)=3(x-1)^2+12
B) f(x)=X^2-16x+55
C) f(x)=x^2-2x+5
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Only doing (B) for you.

f%28x%29=x%5E2-16x%2B55
x%5E2-16x%2B%2816%2F2%29%5E2-%2816%2F2%29%5E2%2B55
x%5E2-16%2B8%5E2-8%5E2%2B55
%28x-8%29%5E2-64%2B55
highlight%28f%28x%29=%28x-8%29%5E2-9%29

Vertex is (8,-9). This is readable directly from the standard form equation.

The x-axis intercepts?
%28x-8%29%5E2-9=0
%28x-8%29%5E2=9
x-8=0%2B-+3
x=8%2B-+3
system%28zerosAre%2C5%2Cand%2C11%29

y-axis intercept?
Look again at the GENERAL FORM equation. (0,55) is the vertical axis intercept.

graph%28500%2C500%2C-10%2C20%2C-10%2C20%2Cx%5E2-16x%2B55%29