Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
=
= [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Shifts:
Shifted three units right and two units up to match the blue parabola
Stretches:
It doesn't have any stretches
Symmetry:
x and y intercepts:
x intercpets: It has no x-intercepts
y-intercepts: (0, 11)
<h2>Explanation:</h2>The pattern of the quadratic function is:
Whose graph is shown below as the red parabola.
So here we need to identify some characteristics of:
Whose graph is shown below as the blue parabola.
As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:
This is so because, for any function:
We have the following transformations:
On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is . The y-intercept is (0, 11) is indicated in the figure.
Shifting graphs: brainly.com/question/10010217
#LearnWithBrainly
