SOLUTION: Show that the quadratic function {{{y=ax^2+bx+c}}} can be written in the form {{{y-k=a(x-h)^2}}} where the point (h,k) is the vertex of the parabola an{{{ h= -b/2a}}} and {{{k= c

Question 744560: Show that the quadratic function can be written in the form where the point (h,k) is the vertex of the parabola an and
Substitute the algebratic expressions for h and k into the general equation and transpose for y
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
Substitute the values for h and k>

FOIL

Distribute a

Cancel where possible

Add c to both sides. Subtract from both sides.

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)

RELATED QUESTIONS
Give one (1) illustrative example for each concept on transforming quadratic functions.... (answered by MathLover1)

In this problem you are asked to convert the general standard form of a quadratic... (answered by venugopalramana)

If a quadratic function has its vertex at point (2,8) and the function passes through... (answered by Edwin McCravy)

I have no clue how to do this. I am working on quadratic functions and their graphs in... (answered by )

I have no clue how to do this. I am working on quadratic functions and their graphs in... (answered by smartdude17,longjonsilver)

Determine the quadratic function f whose vertex is (1,-3) and passes through (2,-1).... (answered by lwsshak3)

A quadratic function is much easier to graph when written in the following form. y =... (answered by MathLover1)

Could someone help me with the following problem? Problem : A quadratic funtion... (answered by jim_thompson5910)

Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the... (answered by MathLover1)