Answer: D) The graph of y = f(x) will shift down 13 units.
Step-by-step explanation:
Let's define the transformations of translations.
If we start with a function f(x):
For A > 0.
An horizontal translation of A units to the right is written as g(x) = f(x - A)
An horizontal translation of A units to the right is written as g(x) = f(x + A).
A vertical translation of A units up is written as g(x) = f(x) + A
A vertical translation of A units down is written as g(x) = f(x) - A.
In this question we have the transformation:
y = f(x) - 13
This is a translation of 13 units down, then the correct option is:
D) The graph of y = f(x) will shift down 13 units.
Answer : Option A
Explanation:
we can clearly see that from x+ y=5 we can substitute y = 5-x in y = 9x^2
Option B is clearly incorrect x can not be y -5
Option C is incorrect because y can not be 5 +x
Option D is incorrect because its y = 9x^2 not y^2 =9x^2 so y can not be 3x
if its y^2 = 9x^2 then only implies y = 3x
Answer:
115 ÷ 5 = 23
Step-by-step explanation:
Distributive property of division is a ÷ b = c where c is constant
115 ÷ 5
= 23
Answer:
4 3/5
Step-by-step explanation:
6 3/4-2 3/20=x
3/4=15/20
15/20-3/20=12/20=6/10=3/5
6-3=3+3/5=4 3/5
Answer:
The correct options are C and D
C. A translation of 5 units up
D. A reflection about the x-axis
Step-by-step explanation:
We have been given as function of the graph:
f(x) = x²
Which is transformed into the function
g(x) = -(x-2)² + 5
Consider the graph of y = x²
To convert it into the graph of given transformed function.
First reflect the graph over x-axis, the equation becomes
y = -(x)²
Then translate the graph 2 units to the right
y = -(x - 2)²
Then translate the graph 5 units up.
y = -(x - 2)² + 5
Thus, the correct statements are C and D
