For the function f(x) = –(x + 1)2 + 4, identify the vertex, domain, and range.

- anonymous

For the function f(x) = –(x + 1)2 + 4, identify the vertex, domain, and range.

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- anonymous

The vertex is (–1, 4), the domain is all real numbers, and the range is y ≥ 4.
The vertex is (–1, 4), the domain is all real numbers, and the range is y ≤ 4.-my answer
The vertex is (1, 4), the domain is all real numbers, and the range is y ≥ 4.
The vertex is (1, 4), the domain is all real numbers, and the range is y ≤ 4.

- anonymous

need help want to make sure if im correct

- anonymous

ok what are you thinking?

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## More answers

- anonymous

b

- anonymous

thats right

- anonymous

thank you so much can help make sure I have 3more problems correct

- anonymous

ok

- anonymous

What is the equation of the following graph in vertex form?
parabolic function going down from the left through the point negative four comma zero and turning at the point negative three comma negative one and going up through the point negative two comma zero and then through the point zero comma eight and continuing up towards infinity

- anonymous

Courtesy of Texas Instruments
y = (x − 3)2 − 1
y = (x + 3)2 − 1
y = (x − 4)2 − 2-my answer
y = (x − 4)2 + 8

- anonymous

next time just type the numbers please. it's a lot easier to decipher.
If it turns at (-3, -1) that's the vertex, so it should be the 2nd choice

- anonymous

im so sorry

- anonymous

no problem

- anonymous

Given the function f(x) = x2 and k = –1, which of the following represents a function opening downward?

- anonymous

f(x) + k-my answer
kf(x)
f(x + k)
f(kx)

- anonymous

f(x)+k moves the function down k units. You want the one that makes -1*f(x)

- anonymous

so D

- anonymous

b

- anonymous

MMM o ok

- anonymous

0
1
–1 -my answer
–2

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- anonymous

what's the question?

- anonymous

alculate the average rate of change for the given graph from x = –2 to x = 0

- anonymous

rate of change just means slope.
\[m=\frac{ y_2-y_1 }{ x_2-x_1 }\]

- anonymous

plug the two points into the equation

- anonymous

-2

- anonymous

well its between -2 nd 0

- anonymous

|dw:1435809574993:dw|

- anonymous

0

- anonymous

yes

- anonymous

was that the last one?

- anonymous

tht was the last one THANK YOU SO MUCH

- anonymous

WAITTT another 5 came up

- anonymous

Using the completing-the-square method, find the vertex of the function f(x) = –3x2 + 6x − 2 and indicate whether it is a minimum or a maximum and at what point.

- anonymous

Maximum at (1, 1)
Minimum at (1, 1)
Maximum at (–1, 2)
Minimum at (–1, 2)

- anonymous

helpp

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