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
Yanka [14]
3 years ago
8

The parent function of the function g(x) = (x - 5)2 + k is f(x) = x2. The vertex of the function g(x) is located at (9,-8).

Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

h = 5 and k = -8.

Step-by-step explanation:

The parent equation is f(x) = x², which is the equation of a parabola having the vertex at point (0,0).

The original equation is given by g(x) = (x - 5)² + k, ⇒ y = (x - 5)² + k

⇒ y - k = (x - 5)²

So, the vertex of the original equation is at (5, k) which is given to be (5, -8)

Therefore, h = 5 and k = -8. (Answer)

You might be interested in
Find the distance between the pair of points<br><br> (0,0)(6,8)
Ivahew [28]
  • A(0,0)
  • B=(6,8)

Distance formula

\boxed{\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

\\ \sf\longmapsto  \sqrt{(6 - 0) {}^{2} +  {(8 - 0)}^{2}  }  \\ \\ \sf\longmapsto  \sqrt{ {6}^{2}  +  {8}^{2} }  \\ \\ \sf\longmapsto  \sqrt{36 + 64  }  \\ \\ \sf\longmapsto  \sqrt{100}  \\ \\ \sf\longmapsto 10

4 0
3 years ago
Question 1:
AnnyKZ [126]

Answer(1):

Given that h(y)=2y-7.

h(8) means  plug y=8 into h(y)=2y-7.

h(8)=2*8-7=16-7=9

Hence C) 9 is the final answer.


Answer 2:

(7/8) = (m/32)

to solve for m, we begin by cross multiply

8m=7*32

8m=224

m=28

Hence choice C) 28 is final answer.


Reflection symmetry occurs when a line is drawn to divide a shape in halves so that each half is a reflection of the other.


Rotational symmetry is to check if the given picture is symmetric after some rotation.


Answer 3:

Letter "E" will have

B) the letter has reflection symmetry only

So B) is correct.


Answer 4:

Which statement is true?

Letter "Z" will have

B) the letter has rotation symmetry only

Hence B) is correct.


Answer 5:

Letter "X" will have

A) the letter has both reflection and rotation symmetry

Hence A) is correct.

5 0
3 years ago
Read 2 more answers
Find the nth term of the sequence 17,21,25,29…
USPshnik [31]

Answer:

Plass 4 every time

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A recipe calls for 3/4 cup of sugar for every 3 cups of flour.How many flour should be used for every 1 cup of sugar ?​
vivado [14]
You need 1/4 of sugar per cup of flour. So you need 4 cups of flour for every one cup of sugar
5 0
3 years ago
Who had a head start, and how many miles was the head start? Rita had a 28-mile head start. Roger had a 26-mile head start. Roge
serg [7]

Complete question is;

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below. Who had a head start, and how many miles was the head start?

A) Rita had a 28-mile head start.

B) Roger had a 26-mile head start.

C) Roger had a 25-mile head start.

D) Rita had a 22-mile head start.

Answer:

A) Rita had a 28-mile head start.

Step-by-step explanation:

Let's assume that Roger travelled a distance of 60 miles

And that;

Rita travelled a distance of 32 miles

We are told that they travelled between Phoenix and San Diego.

Thus, it means that if they have different distances but covered same section of the trip, it means the one with higher distance started before the section of the trip.

Thus, it means that Rita had a head start of Roger since she covered only 32 miles.

Thus;

Rita had a head start of; 60 - 32 = 28 miles

4 0
3 years ago
Other questions:
  • Geometry One side of a rectangle is 5 inches long. Another side of the rectangle is 7 inches long. What are the lengths of the o
    12·1 answer
  • 15-12=3÷n how do I get the answer do i dived 3÷n
    8·2 answers
  • Find x if h(x)=-2<br> Please Helppp :) ill mark brainliest
    6·2 answers
  • Consider the trial on which a 3 is first observed in successive rolls of a six-sided die. Let A be the event that 3 is observed
    13·1 answer
  • What is the range of the function on the graph?
    15·1 answer
  • $75 to $25<br> plz answer quickly need answer now
    11·2 answers
  • In the figure TU is tangent to the circle at the U point. See below
    6·1 answer
  • Imagine your friend uses long division to determine the quotients, and is confused by how quickly you
    9·2 answers
  • A stylist charges $20.00 per haircut. The total cost for running her home-based business is $4,000.00 per month, which includes
    7·1 answer
  • A farmer has both sheep and chickens on his farm. All the animals have the expected number of parts. When his animals are all
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!