SOLUTION: Please help me with this question. Write the quadratic function in the form
y=a(x-h) square + k and identify the vertex.
y= x square - 10x + 18
Algebra.Com
Question 316873: Please help me with this question. Write the quadratic function in the form
y=a(x-h) square + k and identify the vertex.
y= x square - 10x + 18
Found 2 solutions by stanbon, tinbar:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write the quadratic function in the form
y=a(x-h) square + k and identify the vertex.
y= x square - 10x + 18
y = x^2-10x+25 + 18 - 25
y = (x-5)^2 - 7
---------------------------
Vertex: (5,-7)
===================
Cheers,
Stan H.
=====================
Answer by tinbar(133) (Show Source): You can put this solution on YOUR website!
firstly, you should know that the form y =a(x-h)+k directly tells us the vertex (h, k). Also, k is the optimal value, either a min or max depending on 'a' being + or -.
y = x^2-10x+18
y = {x^2-10x} + 18 <- first seperate the constant at the end from the terms that depend on x
next we have to turn {x^2-10x} into {x-?}^2
y = {x-5}^2 - 25. we need - 25 becuase {x-5}^2 expanded becomes x^2-10x+25, note that the +25 is an extra value produced when we completed the square. therefore we have to take it away with - 25 resulting in just the first two terms; x^2-10x, which is what we want.
don forget to add the original 18 constant.
y={x-5}^2 -25 +18
y = {x-5}^2 - 7
RELATED QUESTIONS
i really need help with this. i thought to have an equation in vertex form and to find... (answered by Mathtut)
Please write the quadratic function in the form {{{f(x)=a(x-h)^2+k}}} by the COMPLETING... (answered by texttutoring)
Could you please help me with this problem
Given the vertex (3,-2) passing through... (answered by venugopalramana)
Please help me use completing the sq. to write the equation in the form y=a(x-h)^2+k.... (answered by stanbon)
Write the following quadratic function in the vertext form. Then, identify the axis of... (answered by josgarithmetic)
Please help me solve this equation
Let f(x) = 2x^2 − 8x − 7.
(a) Write... (answered by josgarithmetic,MathTherapy)
Determine the quadratic function with the given information.
Given: vertex (3,-7) and... (answered by josgarithmetic,MathTherapy)
Kindly help me with parabola question.the x and y intercept of a quadratic function in... (answered by MathLover1)
Here is my question :
Write the quadratic function in form f(x) =a(x-h)^2 +k
Then,... (answered by KMST)