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e-lub [12.9K]
4 years ago
15

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

Mathematics
2 answers:
erma4kov [3.2K]4 years ago
5 0
y=(x-5)^2-2\\
y=x^2-10x+25-2\\
y=x^2-10x+23

MrMuchimi4 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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