SOLUTION: instructions: sketch a graph of the quadratic function with the given vertex and through the given point.then write the equation of the parabola in vertex form. 1. vertex(-3,-2)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: instructions: sketch a graph of the quadratic function with the given vertex and through the given point.then write the equation of the parabola in vertex form. 1. vertex(-3,-2)      Log On


   



Question 700755: instructions: sketch a graph of the quadratic function with the given vertex and through the given point.then write the equation of the parabola in vertex form.
1. vertex(-3,-2);point(1,2)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
sketch a graph of the quadratic function with the given vertex and through the given point.then write the equation of the parabola in vertex form.
1. vertex(-3,-2);point(1,2)
**
Standard form of equation parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex.
For given parabola:
y=A(x+3)^2-2
find A using coordinates of given point (1,2)
2=A(1+3)^2-2
4=A(4)^2
A=4/16
equation:(1/4)(x+3)^2-2
see graph below:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F4%29%28x%2B3%29%5E2-2%29+