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
julia-pushkina [17]
3 years ago
14

the graph of h is the graph of f(x)=x^2 translated 4 units left and 7 units down. Write the function H in vertex form.

Mathematics
1 answer:
adoni [48]3 years ago
6 0

Answer:

f(x)=a(x - h)2 + k

Much like a linear function, k works like b in the slope-intercept formula. Like where add or subtract b would determine where the line crosses, in the linear, k determines the vertex of the parabola. If you're going to go up 2, then you need to add 2.

The h determines the movement horizontally. what you put in h determines if it moves left or right. To adjust this, you need to find the number to make the parentheses equal 0 when x equals -2 (because moving the vertex point to the left means subtraction/negatives):

x - h = 0

-2 - h = 0

-h = 2

h = -2

So the function ends up looking like:

f(x)=a(x - (-2))2 + 2

Subtracting a negative cancels the signs out to make a positive:

f(x)=a(x + 2)2 + 2

Step-by-step explanation:

You might be interested in
ILL GIVE U BRAINLIEST RIGHT ANSWERS ONLY Which statement is true?
Studentka2010 [4]

Answer:

A.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
In a geometric sequence, the term a n+1 can be smaller than the term a n
Rainbow [258]

Do you mean a_(n+1), worded a sub (n+1)?

If so yes.  If the function of the sequence is getting smaller or more negative with each term.

6 0
3 years ago
Julia spends $7.25 on gas for her lawn mower. She earns $12.00 mowing her neighbor's yard. What is Julia's profit? Julia earned
const2013 [10]
To get julia's profit you will have to subtract the amount she spent on gas from the amount she was paid $12.00-$7.25=$4.75
5 0
3 years ago
Write 16.76 correct to the nearest whole number​
emmasim [6.3K]
16.76 rounds off to 17
After the dot if it’s 1-4 then they it would’ve been 15
5-9 is 17
4 0
3 years ago
Read 2 more answers
4^{5} times 4^{3} WHAT'S THE ANSWER
Alchen [17]
4^8 is the answer according to the law of indices
7 0
3 years ago
Read 2 more answers
Other questions:
  • Rewrite the expression using the distributive property: 3(2r + 2)
    9·2 answers
  • What number is 1426/7% of 77?
    14·2 answers
  • It takes gone exactly 35 minutes by car to get his grandmother the nearest parking area is a four minute walk from her apartment
    8·1 answer
  • Compute <img src="https://tex.z-dn.net/?f=i%2Bi%5E2%2Bi%5E3%2B%5Ccdots%2Bi%5E%7B258%7D%2Bi%5E%7B259%7D" id="TexFormula1" title="
    12·2 answers
  • If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games ar
    7·1 answer
  • In the past you paid $800
    12·2 answers
  • PLEASE ANSWER ASAP I WILL MARK BRAINLIEST WHEN ANSWERING PLZ PUT ANSWER IN ORDER PLS THANK YOU :)
    9·1 answer
  • Which reason justifies statement 2?
    13·1 answer
  • Determine the x-intercept(s) of the rational function: <br> f(x) = (x ^ 2 - 16)/(x ^ 2 - 2x - 3)
    12·1 answer
  • In the previous lesson, you found the equation of a line to represent the association between latitude and temperature. This is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!