1) for the function f(x)= 3(x-1)^2, identify the vertex, domain and range.
a) the vertex is (1, 2), the domain is all real numbers, and the range is y > _ 2
b) the vertex is (1, 2), the domain is all real numbers and the range is y < _ 2
c) the vertex is ( -1, 2), the domain is all real numbers and the range is y > _ 2
d) the vertex is (-1, 2), the domain is all real numbers, and the range is y < _ 2

2) what is the equation of the following graph in vertex form? (picture included below)
a) y= (x- 4)^2 - 4
b) y= (x + 4)^2 - 4
c) y= (x + 2)^2 + 6
d) y= (x + 2)^2 + 12

3) what is the equation of the following graph in vertex form? (picture included below)
a) y= (x - 2)^2 + 1
b) y= (x -1)^2 + 2
c) y= (x +2)^2 +1
d) y= (x + 2)^2 -1

4) for the function f(x)= – (x + 1)^2 + 4, identify the vertex, domain, and range.
a)the vertex is ( –1, 4), the domain is all real numbers, and the domain is y > _ 4
b) the vertex is (–1, 4), the domain is all real numbers, and the range is y < _ 4
c) the vertex is (1, 4), the domain is all real numbers, and the range is y > _ 4
d) the vertex is (1, 4), the domain is all real numbers, and the range is y < _ 4

QUESTION 1

The given function is

This function is of the form:

, where is the vertex of the function.

Hence the vertex is

The function is defined for all real values of . Hence the domain is all real numbers.

To find the range, we let

is defined for

is defined for y\geq 2[/tex]

The correct answer is A

QUESTION 2

Based on the description, I was able to picture the diagram as shown in the attachment.

This graph has the vertex , Hence the equation is of the form:

The equation is

The correct answer is A

QUESTION 3

Based on the description, the graph has vertices (2,1)

Since this is a minimum graph;

The equation is of the form;

, where .

Hence the equation is

The correct answer is A.

QUESTION  5

The given function is

This equation is of the form where is the vertex .

The function is defined for all real values of . Hence the domain is all real numbers.

To find the range, we let

is defined for

Hence the range is the range is

B) The vertex is (–1, 4), the domain is all real numbers, and the range is

570, the answer is 570, hope it

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event