Question

math problem

Answer 1

y = a(x-h)^2 + k

what is the vertex?

Answer 2

1, -2

Answer 3

az

Answer 4

Yes

y = a(x - 1)^2 - 2

we need to find 'a' first

So if we look at our graph, we see there's a point on our line at (3, 2)

so we plug that into our equation to solve for a

2 = a(3-1)^2 - 2

a = ??

Answer 5

what is 3 - 1 =

Answer 6

2

Answer 7

2 = a(3-1)^2 - 2

so 3-1 = 2

now we get

2 = a(2)^2 - 2

what is 2^2 =

Answer 8

4

Answer 9

Now we get

2 = 4a - 2

can you solve for a?

Answer 10

a is 1

Answer 11

Good! So that means

y = a(x - 1)^2 - 2

y = (x-1)^2 - 2

now what is (x-1)^2 = ??

remember
\( (a-b)^2 = a^2 - 2ab + b^2\)

Answer 12

x^2-2x+1

Answer 13

good, now put it all together

y = x^2 -2x +1 - 2

can you simplify it? Just add the like terms

Answer 14

1-2

Answer 15

yes, what is that?

Answer 16

-1

Answer 17

so what's your final answer?

Answer 18

x^2-2x-1

Answer 19

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jnlkmnjkm
x^2-2x-1
\(\color{#0cbb34}{\text{End of Quote}}\)

Correct