SOLUTION: Quadratic Equations Complete the square to rewrite each relation in the form y=a(x-h)^2+k. Then, sketch a graph of each parabola, labelling the vertex, the axis of symmetry, and t

Question 177829: Quadratic Equations
Complete the square to rewrite each relation in the form y=a(x-h)^2+k. Then, sketch a graph of each parabola, labelling the vertex, the axis of symmetry, and two other points.
a)y=x^2+4x+10
b)y=-x^2+6x-8
c)y=-2x^2-12x-7
Thank you very much

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

a)
Completing the square:

Vertex: (-2,6)
Axis of Symmetry=-2
Solving the X-intercepts:
--->where
Solving the Discriminant: ---> since negative, it has no solutions for real numbers.
Y-Intercept:

Continuing,

Or see the graph,

b)----->
Completing the square:

-------> where, highlighted: , oks!
Vertex: (3,1)
Axis of Symmetry: =3
Remember
Solving for Discriminant:
Then,

X-Intercepts
Y-Intercept:

We'll see the graph,

c)----->
Completing the square:

-->it follows where
Vertex: (-3,11)------->Again,
Axis 0f Symmetry= -3
For X-Intercepts:
Remember
WE 1st solve for the discriminant:
Then,

Y-Intercept:

We see the graph:

Thank you,
Jojo

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