# Algebra1

what are the coordinates of the vertex of the parabola defined by:
f(x)=9(x-8)+8
I'm confused on how to solve this. Help pls

1. 👍 0
2. 👎 0
3. 👁 57
1. Need an x^2 somewhere
perhaps
y = 9 (x-8)^2 + 8
or something?

1. 👍 0
2. 👎 0
posted by Damon
2. If it is indeed
y = 9 (x-8)^2 + 8
then
y = 9 (x^2 - 16 x + 64) + 8
y = 9 x^2 - 144 x + 576 + 8
y = 9 x^2 - 144 x + 584
then
x^2 - 16 x + 64 8/9 = y/9

x^2 - 16 x = y/9 -64 -8/9

x^2 - 16 x + 64 = y/9 -64 -8/9 + 64

(x-8)^2 = y/9 -8/9 = (1/9)(y-8)

vertex at (8,8)

1. 👍 0
2. 👎 0
posted by Damon
3. of course we could have short cut that by saying
9 (x-8)^2 = y-8
then
(x-8)^2 = (1/9)(y-8)
but best do the whole completing the square process.

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Algebra

The vertex of a parabola represented by f(x)=x^2-4x+3 has coordinates of (2,-1). Find the coordinates of the vertex of the parabola defined by g(x)=f(x-2). Explain how you arrived to your answer. My question: Would you move the

asked by Anon on May 2, 2016
2. ### math

A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) The parabola has a minimum value B) The parabola has a maximum value C) The parabola does not cross the y-axis D) The parabola does not cross the x-axis E)

asked by claudia on May 15, 2007
3. ### math

A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) The parabola has a minimum value B) The parabola has a maximum value C) The parabola does not cross the y-axis D) The parabola does not cross the x-axis E)

asked by claudia on May 14, 2007
4. ### Algebra

Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 -I got (4,-4) Find the axis of symmetry of the parabola defined by the given quadratic

asked by Soly on October 14, 2007
5. ### Algebra Problems

Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 -I got (4,-4) Find the axis of symmetry of the parabola defined by the given quadratic

asked by Soly on October 15, 2007
6. ### Algebra

Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 -I got (4,-4) Find the axis of symmetry of the parabola defined by the given quadratic

asked by Soly on October 15, 2007
7. ### Algebra

Can you please help me with the following problems? Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 Find the axis of symmetry of the parabola defined by the given

asked by Soly on October 13, 2007
8. ### Algebra1

A parabola is defined as f(x)=a(x–8)2+9, where a is a positive real number. As a increases, What happens to the x-coordinate of the parabola’s vertex?

asked by jasmine on July 20, 2015
9. ### Math

A person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function s(t) = -16t^2 +64t + 160 models the ball's height above the ground, s(t), in feet, t seconds after

asked by Nicole on October 18, 2011
10. ### Geometry

P(2ap, ap^2) is a any point on the parabola x^2=4ay other than its vertex. The normal at P meets the parabola again at Q. Find the coordinates of Q.

asked by Shanu on January 24, 2015

More Similar Questions