SOLUTION: For each quadratic function, (a) find the vertex and the axis of symmetry and (b) graph the function. {{{h(x)=x^2+7x}}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: For each quadratic function, (a) find the vertex and the axis of symmetry and (b) graph the function. {{{h(x)=x^2+7x}}}      Log On


   

Question 748033: For each quadratic function, (a) find the vertex and the axis of symmetry and (b) graph the function.
h%28x%29=x%5E2%2B7x
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Not even need to put into standard form. Just factor.
x%5E2%2B7x=x%28x%2B7%29,

set to the equation x%28x%2B7%29=0, then roots are at 0 and -7. Axis of symmetry is x exactly in the middle, x=-3%261%2F2. Calculate what is h%28-3%261%2F2%29 to get the vertex, which will be a minimum point.

graph%28300%2C300%2C-10%2C5%2C-14%2C1%2Cx%5E2%2B7x%29