Question

The graph of y = x2 is shown below. Using complete sentences, explain how the graph of
y = -3(x - 2)2 + 1 would differ from this parabola?

Answer 1

@jim_thompson5910

Answer 2

What's the vertex of y = -3(x - 2)^2 + 1 ?

Answer 3

(2,1)

Answer 4

What's the vertex of that graph you posted?

Answer 5

i dont know :(

Answer 6

its y = x^2

Answer 7

What's the lowest point

Answer 8

zero

Answer 9

(0,0) actually

Answer 10

What else is different?

Answer 11

between the two graphs?

Answer 12

i dont know? theyre both parabolas right

Answer 13

that's one similarity, they're both parabolas

Answer 14

whats different about them??

Answer 15

y = x^2

is the same as

y = 1*(x-0)^2 + 0

Answer 16

so you can see that y = 1*(x-0)^2 + 0 has the vertex (0,0)

what's the value of 'a'?

Answer 17

1??

Answer 18

what is 'a' in the first equation

Answer 19

0?

Answer 20

y = -3(x - 2)^2 + 1

a = ??

Answer 21

-3

Answer 22

a = 1 means 'a' is positive

when 'a' is positive, the parabola looks like this

Answer 23

a = -3 means 'a' is negative

when 'a' is negative, the parabola opens upside down