Question

PLZ HELP ASAP: What is the equation of the following graph in vertex form?

Answer 1

choices: y = (x − 4)2 − 4
y = (x + 4)2 − 4
y = (x + 2)2 + 6
y = (x + 2)2 + 12

Answer 2

@pooja195 @satellite73 @xo_just4me_xo @Landon34 @Kitten_is_back

Answer 3

yeah?

Answer 4

@radar @Teddyiswatshecallsme @Cardinal_Carlo @jhonyy9

Answer 5

The vertex form of a quadratic is given by y = a(x – h)2 + k, where (h, k) is the vertex, and the "a" in the vertex form is the same "a" as in y = ax2 + bx + c.

In our case, the vertex seems to be (4, -4). So:
\[\left( h, k \right) = \left( 4, -4 \right)\]
So far we have:
\[y = a \left( x - 4 \right)^{2} + \left( -4 \right)\]
@iwanttogotostanford can you think of a way to get the a-value? Hint: Since the curve resembles a smiley face, the a-value is a positive integer.
\[a = ~ ?\]

Answer 6

I'm thinking 4

Answer 7

Well take a look at each of your four choices @iwanttogotostanford. Which one closely resembles the equation we have?

Answer 8

Hint: The a-value is positive 1 across all four choices.

Answer 9

2 then @Cardinal_Carlo

Answer 10

WAIT NO its A!!! @Cardinal_Carlo

Answer 11

Exactly. Took you long enough @iwanttogotostanford ^_^

Answer 12

very true haha! Can i tag you in one more question>?

Answer 13

Sure go ahead

Answer 14

ok can i post it here