SOLUTION: for the quadratic function: f(x)=3(x+4)^2 state the vertex:( , ) does the parabola open up or down. the function has ___ real zeros

Algebra ->  Graphs -> SOLUTION: for the quadratic function: f(x)=3(x+4)^2 state the vertex:( , ) does the parabola open up or down. the function has ___ real zeros      Log On


   

Question 83339: for the quadratic function:
f(x)=3(x+4)^2
state the vertex:( , )
does the parabola open up or down.
the function has ___ real zeros
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Using the vertex form

y=a%28x-h%29%5E2%2Bk where a states the shape and direction, and (h,k) is the vertex,

The equation f%28x%29=3%28x%2B4%29%5E2 which also looks like f%28x%29=3%28x-%28-4%29%29%5E2%2B0, has a vertex at (-4,0). Also, since a>0, the graph opens up. So here's the graph to visually sum it up

graph of y=3%28x%2B4%29%5E2 with the vertex (blue dot)