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
GarryVolchara [31]
2 years ago
7

The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applie

d to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.
Mathematics
1 answer:
nikklg [1K]2 years ago
6 0
The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.

From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
You might be interested in
Which of the following is a radical equation?<br> Ox√3=13<br> O x+√3=13<br> O√x+3=13<br> O x+3=√13
sashaice [31]

Answer:

The answer would be: √x+3=13

Step-by-step explanation:

A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.

The option with √x would be only √x+3=13

8 0
1 year ago
The measures of three of the interior angles of a quadrilateral are 60°, 110°, and 90°. What is the measure of the fourth angle
Dmitry_Shevchenko [17]

Answer:

100°

Step-by-step explanation:

all four angles added together total 360°

x = 360° - 60° - 110° - 90°

x = 100°

3 0
3 years ago
Micheal solved this inequality as shown: step 1: -6(x + 3) + 10 &lt; -2 step 2: -6x - 18 + 10 &lt; -2 step 3: -6x - 8 &lt; -2 st
Anastaziya [24]
<h3>Answer:   addition property of inequality</h3>

================================================

Explanation:

These are the steps to focus on

step 3: -6x - 8 < -2

step 4: -6x < 6

The move from the third step to the fourth step has us adding 8 to both sides. Therefore, we use the addition property of inequality.

That property has four forms

  1. If a > b then a + c > b+c
  2. If a < b then a+c < b+c
  3. If a \ge b then a + c \ge b+c
  4. If a \le b then a+c \le b+c

It's similar to the idea of starting with a = b, then adding c to both sides to get a+c = b+c

We add the same thing to both sides to keep things balanced.

8 0
2 years ago
The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
wolverine [178]

Answer:

\lambda=10^{-10}\ m

Step-by-step explanation:

Given that,

The frequency of x-rays, f=3\times 10^{18}\ Hz

We need to find the wavelength for x-rays. The relation between wavelength, frequency and speed of light is given by :

v=f\lambda\\\\\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^{8}}{3\times 10^{18}}\\\\=10^{-10}\ m

So, the wavelength for x-rays is 10^{-10}\ m.

7 0
3 years ago
My bed is 3 inches by 2 1/3 by 1/3. what is my volume?
neonofarm [45]
2 1/3. 3 inches by 2 1/3 inches is 7. A 3rd of that is 2 1/3 or 2.3333333333
8 0
3 years ago
Other questions:
  • What units do you use to measure Volume
    7·2 answers
  • 19+7÷2 x 6+1=1 We’re to put brackets to make it =1
    9·1 answer
  • £980 is divided between Caroline, Sarah &amp; Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as
    9·2 answers
  • Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award.How many students earn the reward?
    12·1 answer
  • In the diagram, points E, A, and B are collinear and the areas of square ABCD and right triangle EAD are equal. What are the coo
    8·2 answers
  • What is the correct answer
    9·2 answers
  • What ordered pair is a solution to 5x -6y = -4<br><br> A. (3,-3)<br> B. (3,3)<br> C. (4,4)
    5·1 answer
  • Cuide
    10·1 answer
  • Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x
    6·1 answer
  • 22−2x&lt;38
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!