# ,math

given the quadratic equation expression x^2+10*x+12 find the turning point of its graph by using the technique known as completing the square.

1. 👍 0
2. 👎 0
3. 👁 104
1. let y = x^2 + 10x + 12
= (x^2 + 10x + 25 - 25) + 12
= ( (x+5)^2 - 25) + 12
= (x+5)^2) - 25 + 12
= (x+5)^2 - 13

we have found the vertex to be (-5,-13), which for a parabola would be the turning point.

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### maths

a)Express y = 2 (x - 1) (x - 5) in the form y = ax^2 + bx + c. b) From the above quadratic equation calculate the following: I) x and y intercepts II) Coordinate of the turning point III) Is the graph a maximum or minimum turning

asked by Shane on May 20, 2014
2. ### math

Heather is solving an equation by graphing the expressions on both sides. If her graph intersects at an infinite number of points, which statement could describe the equation Heather is attempting to solve? A. One side of the

asked by kristy on January 12, 2016
3. ### maths

Given the quadratic equation y = -x^2 + 2x + 3. a) Will the graph turn upwards or downwards? b) What are the coordinates of x and y intercepts? c) What is the coordinate of the turning point? d) Use your answer in parts (a,b,c and

asked by Shane on May 10, 2014
4. ### maths

Given the quadratic equation y = -x^2 + 2x + 3. a) Will the graph turn upwards or downwards? b)What are the coordinates of x and y intercepts? c)What is the coordinate of the turning point? d)Use your answer in parts (a,b,c,and d)

asked by Shane on May 2, 2014
5. ### Math

How do you find the turning point of a quadratic equation? (The Formula)

asked by Bill on February 27, 2011
6. ### algebra

Can you use algebra to find a quadratic equation if your know the coordinates of just ONE point on its graph? Can you use algebra to find a quadratic equation if your know the coordinates of just TWO points on its graph? If so,

asked by Sejul on October 6, 2011
7. ### Math

I can't remember how you find the roots of quadratic equations other than determining the zeroes of the equation and finding the x-intercepts. Can someone please give me a clear answer on this as my dad has been useless on this

asked by Alex on November 3, 2014

Please explain to me how to do the following problems, I don't understand them. Thanks! Find the x-intercepts (if any) for the graph of the quadratic function. 1.f(x) = (x + 2)2 - 4 Find the y-intercept for the graph of the

asked by Carmen on October 13, 2007
9. ### Algebra

I really need help on some sample work. Just need to check my answers: 1. Describe how the graph of y=-x^2+1 differs from y=x^2. Then find the axis of symmetry and the vertex 2. Graph the quadratic equation y=x^2+x-2. Identify the

asked by Connor Steelwood on March 21, 2019
10. ### Algebra

I really need help on some sample work. Just need to check my answers: 1. Describe how the graph of y=-x^2+1 differs from y=x^2. Then find the axis of symmetry and the vertex 2. Graph the quadratic equation y=x^2+x-2. Identify the

asked by Connor Steelwood on March 22, 2019

More Similar Questions