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 1044568: 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)=4x^2+16x
B) f(x)=X^2+10x+25
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
(A)
Factorize and then complete the square to put into standard form.

(B)
Perfect square, so just factorize and now standard form.

Vertex and x-axis intercepts will be straightforward.

f(x)=4x^2+16x
graph%28300%2C300%2C-11%2C6%2C-16%2C1%2C4x%5E2%2B16x%29


f(x)=x^2+10x+25
graph%28300%2C300%2C-9%2C3%2C-2%2C10%2Cx%5E2%2B10x%2B25%29