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The graphs below have the same shape. What is the equation of the blue

The graphs below have the same shape. What is the equation of the blue-example-1
User Don Womick
by
5.4k points

2 Answers

5 votes

Answer: The correct option is B.

Step-by-step explanation:

From the given figure it is noticed that the parent function is,


f(x)=x^2

The graph of f(x) shifts 5 units right.

The transformation is defined as,


g(x)=f(x+a)+b

Where, a shows the horizontal shifts and b shows the vertical shift.

If a<0 then the graph of f(x) shifts right side by a units and if a>0 then the graph of f(x) shifts left side by a units.

If b<0 then the graph of f(x) shifts downward by b units and if b>0 then the graph of f(x) shifts upward by b units.

Since the graph of parent function is shifts only right side by 5 units, therefore


g(x)=f(x-5)+0

Since
f(x)=x^2


g(x)=(x+5)^2

Thus, the correct option is B.

The function in option A represents the left shift of f(x) by 5 units. The option C represents the downward shift of f(x) by 5 units. The option D represents the upward shift of f(x) by 5 units.

User John Hoven
by
5.6k points
4 votes
using a graph tool
see the attache figure

the answer is the option B
g(x)=(x-5)²
The graphs below have the same shape. What is the equation of the blue-example-1
User Israel Unterman
by
6.6k points