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3 years ago

Write this in y=ax^2+b form: y=(x-5)^2 - 2

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

5 0

$y=(x-5)^2-2\\
y=x^2-10x+25-2\\
y=x^2-10x+23
$

MrMuchimi3 years ago

3 0

Expand (x - 5)^2

(x - 5)^2 = (x - 5)(x - 5)

Multiply all the terms in the first parenthesis to all the terms in the 2nd:

x * x = x^2
x * -5 = -5x
-5 * x = -5x
-5 * -5 = 25

So we have:

x^2 - 5x - 5x + 25

Combine like terms:

x^2 - 10x + 25

Plug it back in:

y = (x - 5)^2 - 2

y = x^2 - 10x + 25 - 2

Combine like terms:

y = x^2 - 10x + 23

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