List all the transformations occurred on the function g(x)=\frac{1}{2}(x-11)^{2}+6 from its parent function f(x)=x^{2}.
Reflection over __________
Vertical __________ by a factor of __________
Horizontal shift __________ by __________
Vertical shift __________by __________
Required
1 point
1
Question 22
22.
List all the transformations occurred on the function g(x)=-5(x+17)^{2}-20 from its parent function f(x)=x^{2}.
Reflection over __________
Vertical __________ by a factor of __________
Horizontal shift __________ by __________
Vertical shift __________by __________
Required
1 point
1
Question 23
23.
Given the parent function f(x)=x^{2}, write down the equation of the transformed function in the form g(x)=a(x-h)^{2}+k. A reflection over the x-axis, a vertical stretch by a factor of 6, a horizontal shift right nine, and a vertical shift down two.
Required
1 point
1
Question 24
24.
Given the parent function f(x)=x^{2}, write down the equation of the transformed function in the form g(x)=a(x-h)^{2}+k. A vertical compression by a factor of ¼ , a horizontal shift left twenty, and a vertical shift up twenty-one.
Required
1 point
1
Question 25
25.
Given the dashed parent function, list all the transformations that took place to result in the solid function.
Reflection over _______
Horizontal shift_______ by _______
Vertical shift _______ by _______
Required
1 point
1
Question 26
26.
Given the parent function f(x)=(x)^{2}, write the equation of the transformed function in the form g(x)=(x-h)^{2}+k.
Required
1 point
1
Question 27
27.
Given the dashed parent function, list all the transformations that took place to result in the solid function.
Horizontal shift_______ by _______
Vertical shift _______ by _______
Required
1 point
1
Question 28
28.
Given the parent function f(x)=(x)^{2}, write the equation of the transformed function in the form g(x)=(x-h)^{2}+k.
Required
1 point
1
Question 29
29.
A quadratic function has solutions x=7 and x=\frac{-4}{5}, write an equation in factored form.
Required
1 point
1
Question 30
30.
A quadratic function has solutions x=-15 and x=\frac{3}{7}, write an equation in factored form.
Required
1 point
1
Question 31
31.
A quadratic function has solutions x=12i, write an equation in factored form.
Required
1 point
1
Question 32
32.
A quadratic function has solutions x=7i, write an equation in factored form.
Required
1 point
1
Question 33
33.
A quadratic function has solutions x=-2i, write an equation in factored form.
Required
1 point
1
Question 34
34.
Determine the point(s) of intersection to the graphed system of equations.
Type your answer in as (x,y)
Required
1 point
1
Question 35
35.
Determine the point(s) of intersection to the graphed system of equations.
Type your answer in as (x,y),(x,y) no spaces
Required
1 point
1
Question 36
36.
Determine the point(s) of intersection to the graphed system of equations.
Type your answer in as (x,y),(x,y) no spaces
Required
1 point
1
Question 37
37.
Determine the point(s) of intersection to the following system of equations.
Type your answer in as (x,y),(x,y) no spaces
Required
1 point
1
Question 38
38.
Determine the point(s) of intersection to the following system of equations.
Type your answer in as (x,y)
Required
1 point
1
Question 39
39.
Determine the point(s) of intersection to the following system of equations. Round your answer to two decimal places.
Type your answer in as (x,y),(x,y) no spaces
Consider the following data which shows the speed that a car is traveling and the distance that the car takes to come to a complete stop (braking distance) when it is traveling at that speed.
Required
1 point
1
Question 40
40.
Determine the quadratic regression using your calculator. Write your answer in the form y=ax^{2}+bx+c. Round to two decimal places.
Required
1 point
1
Question 41
41.
Assuming the trend continues, what is the best prediction for a car traveling 72 miles per hour. Round your answer to two decimal places.
A high school physics class launched a toy rocket and recorded its height over time. Their tracking software produced the following results.
Required
1 point
1
Question 42
42.
Determine the quadratic regression using your calculator. Write your answer in the form y=ax^{2}+bx+c. Round to two decimal places.
Required
1 point
1
Question 43
43.
Assuming the trend continues, what is the best prediction for a rocket that has been in the air for 5.7 seconds. Round your answer to two decimal places.