Question

100 POINTS HELP PLS

Q1 Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?

The graph of g(x) is the graph of f(x) translated 5 units right.


The graph of g(x) is the graph of​​ f(x)​ vertically compressed by a factor of 5.


The graph of g(x) is the graph of​ f(x)​ vertically stretched by a factor of 5.


The graph of g(x) is the graph of​​​ f(x) translated 5 units up.

Q2 Question
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x+9) ?


The graph of g(x) is the graph of​ f(x)​ vertically stretched by a factor of 9.


The graph of g(x) is the graph of​​ f(x)​ vertically compressed by a factor of 9.


The graph of g(x) is the graph of f(x) translated 9 units left.

The graph of g(x) is the graph of​​​ f(x) translated 9 units right.

Q3
The linear parent function,f(x)=x ,was transformed to create a graph g(x)=−f(x).

Which statement about the graph is true?


The graph of f is shifted 1 unit left to create the graph of g.

The graph of f is reflected over the x-axis to create the graph of g.


The graph of f is shifted 1 unit down to create the graph of g.

The graph of f is shifted 1 unit right to create the graph of g.

Q4

The graph of function g(x) is a vertical stretch of the graph of function f(x)=x ​​by a factor of 4.

Which equation describes function g(x)?



​​g(x)=f(x)+4


g(x)=4f(x)


​g(x)=1/4f(x)

​​g(x)=f(x)−4

Q5

The function f(x)=x was transformed to create a graph g(x)=f(x−1)−2.

Which statement describes how the graphs of f and g are related?


The graph of f is shifted to the right 1 unit and up 2 units to create the graph of g.

The graph of f is shifted to the right 1 unit and down 2 units to create the graph of g.


The graph of f is shifted to the left 1 unit and down 2 units to create the graph of g.


The graph of f is shifted to the left 1 unit and up 2 units to create the graph of g.

Answer 1

The quadratic function g(x) is f(x) translated 2 units downWhat is the equation for g(x) Q2 Let f(x)=x2−1.The function g(x) is a vertical stretch of f(x) by a factor of 8. What is the equation of g(x)?Q3 The graph of the function g(x) is a transformation of the parent function f(x)=x2 .Which equation describes the function g?(refer to picture attached)A. g(x)=x2+2 ​B. g(x)=(x−2)2C. g(x)=(x+2)2 ​D. g(x)=x2−2Answer:

Explanation: