How do you write #y=x^2-8x+20# into vertex form?

Answer 1

#y=(x-4)^2+4#

#y=[x^2-8x]+20# #y=[(x-4)^2-16]+20# #y=(x-4)^2-16+20# #y=(x-4)^2+4#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

#y=(x-4)^2+4#

#"the equation of a parabola in "color(blue)"vertex form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))#
#"where "(h,k)" are the coordinates of the vertex and a "# #"is a multiplier"#
#"to obtain this form use the method of "color(blue)"completing the square"#
#• " the coefficient of the "x^2" term must be 1 which it is"#
#• " add/subtract "(1/2"coefficient of the x-term")^2" to"# #x^2-8x#
#rArry=x^2+2(-4)xcolor(red)(+16)color(red)(-16)+20#
#rArry=(x-4)^2+4larrcolor(red)"in vertex form"#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

To write ( y = x^2 - 8x + 20 ) into vertex form, complete the square. Then, write it as ( y = a(x - h)^2 + k ), where ( (h, k) ) is the vertex.

Step 1: Rewrite the equation: [ y = (x^2 - 8x) + 20 ]

Step 2: Complete the square for the quadratic term ( x^2 - 8x ): [ y = (x^2 - 8x + 16) - 16 + 20 ]

Step 3: Rewrite the perfect square trinomial and simplify: [ y = (x - 4)^2 + 4 ]

So, the vertex form of ( y = x^2 - 8x + 20 ) is ( y = (x - 4)^2 + 4 ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7