1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lisov135 [29]
3 years ago
6

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

options. The graph of f(x) = x2 is shifted down 50 units. The graph of f(x) = x2 is shifted up 50 units. The graph of f(x) = x2 is shifted left 10 units. The graph of f(x) = x2 is shifted right 10 units. The graph of f(x) = x2 is reflected over the x-axis.
Mathematics
2 answers:
RSB [31]3 years ago
5 0

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

f(x)=x^{2}

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

g(x)=-5x^{2}+100x-450

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

g(x)=-5x^{2}+100x-450

Complete the square

g(x)=-5(x^{2}-20x)-450

g(x)=-5(x^{2}-20x+100)-450+500

g(x)=-5(x^{2}-20x+100)+50

g(x)=-5(x-10)^{2}+50

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

ahrayia [7]3 years ago
3 0

Answer:

B D E

Step-by-step explanation:

I took the test on edge

You might be interested in
HELP ME ON THIS PLSS Kathy swims at least 6 laps everyday. Write an inequality to show how long Kathy swims each day.
mina [271]

Answer:

x ≥ 6.

Step-by-step explanation:

Given : Kathy swims at least 6 laps every day.

To find: Write an inequality to show how long Kathy swims each day.

Solution : We have given that Kathy swims at least 6 laps every day.

We can see from given statement Kathy can swim 6 laps or greater then 6 laps in a day.

Then we use greater than or equal to sign  ( for at least)

Since x ≥ 6.

Therefore, x ≥ 6.

3 0
2 years ago
The difference of a number and four is no more than 8
mixas84 [53]
I am not so sure but I think the answer is 12
8 0
3 years ago
Which of the following polygons has five lines of symmetry?
Ivan
Pentagons are and example.
6 0
3 years ago
Given f(x) = –3x – 7, what is f(–4)?
lyudmila [28]
The answer is D hope this help

8 0
3 years ago
Read 2 more answers
A group of rectangular prisms is shown.
scoray [572]

Answer:

D, E and F

calculating the volume of regular bodies like prims works by multiplication alone.

you need some addition for surface area and for more complicated bodies that when the volume can't be calculated in one step

8 0
3 years ago
Other questions:
  • How would I solve a problem like this?
    11·1 answer
  • Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero. Steps Reasons 1.
    14·2 answers
  • Please help Meeeeeeee
    14·1 answer
  • I'm confused can someone help ​
    13·1 answer
  • Mei runs 93.24 miles in 3 weeks. If she runs 6 days each week, what is the average distance she runs each day?
    5·1 answer
  • Are the following triangles similar to each other? If so, why?
    15·1 answer
  • Find the quotient. 492 ÷ 4 = ? HELP PLEASE
    14·1 answer
  • I GIVEEEEE BRAINLILSTE
    9·1 answer
  • Find the measurement of angle ABC
    13·1 answer
  • What is the correct answer to this geometry question?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!