C , i dont know if it’s right but it’s the only table with the same number on the bottom . and same number in general
Answer:
The new function is g(x) = x² +1
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function f(x) = x²
From graph ,
The parabola y = x² is shifting to up with '1' units
y = x² +1
The new function is g(x) = x² +1
<u><em>Verification:-</em></u>
y = x²+1
Put x=0 ⇒ y =1
The point (0,1) lies on the parabola y = x²+1
similarly put x =1 and y = 2
The Point (1,2) lies on the Parabola y = x²+1
∴ The new graph y = x²+1
Answer:
g(f(0)) = 2
Step-by-step explanation:
To find g(f(0)), you must first find f(0).
f(x) = 3x + 1
f(0) = 3(0) + 1 = 0 + 1 = 1
Now you input 1 into function g(x).
g(x) = (4x + 2)/3
g(1) = [4(1) + 2]/3
g(1) = [4 + 2]/3
g(1) = 6/3
g(1) = 2
g(f(0)) = 2
The exponential function is given in the form

where a is the initial value and b is the multiplicative rate of change
So lets plug the first two values of the table in this function , we get
or

Now plug second

Divide equation 2 by equation 1

On simplifying we get

or

So the multiplicative rate of change of the function is

Answer:
Option (B)
Step-by-step explanation:
CDEF is a quadrilateral having vertex C(2, 3), D(1, 2), E(4, 1), F(5, 3).
To prove that the given quadrilateral has a right angle, we will use the property of perpendicular lines.

where
and
are the slopes of the consecutive sides of the quadrilateral.
Since CD and DE are the consecutive sides of the quadrilateral, Carla is on the right track by finding the slopes of CD and DE.
Since Jonah is finding the slopes of opposite sides so he will not be able to use the property of perpendicular lines.
Option (B) will be the answer.