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
Drupady [299]
3 years ago
7

Calculate the axis of symmetry in the equation Y = (x+1) (x-4)

Mathematics
1 answer:
algol [13]3 years ago
6 0

Answer:

<em>Every </em><em>parabola </em><em>has </em><em>a </em><em>turning</em><em> point</em><em> </em><em>called </em><em>the </em><em>axis</em><em> of</em><em> symmetry</em><em>,</em><em>so </em><em>for </em><em>this </em><em>question</em><em> </em><em>you </em><em>just</em><em> </em><em>have </em><em>to </em><em>find </em><em>the </em><em>turning</em><em> </em><em>points</em>

<em>x </em><em>turning</em><em> </em><em>point</em><em>=</em><em> </em><em>-b/</em><em>2</em><em>a</em><em>,</em><em>and </em><em>the </em><em>y </em><em>turning</em><em> </em><em>point</em><em> </em><em>is </em><em>gotten</em><em> </em><em>by </em><em>replacing</em><em> </em><em>the </em><em>value </em><em>of </em><em>x </em><em>in </em><em>the </em><em>equation</em>

<em>y=</em><em>(</em><em>x+</em><em>1</em><em>)</em><em>(</em><em>x-4)</em>

<em> </em><em> </em><em>=</em><em>x^</em><em>2</em><em>-</em><em>3</em><em>x</em><em>-</em><em>4</em>

<em>a </em><em>is </em><em>1</em><em>,</em><em>b </em><em>is </em><em>-</em><em>3</em><em> </em><em>and </em><em>c </em><em>is </em><em>-</em><em>4</em>

<em>x=</em><em> </em><em>-</em><em>(</em><em>-</em><em>3</em><em>)</em><em>/</em><em>2</em><em>(</em><em>1</em><em>)</em>

<em> </em><em> </em><em>=</em><em>1</em><em>.</em><em>5</em>

<em>and </em><em>y=</em><em>x^</em><em>2</em><em>-</em><em>3</em><em>x</em><em>-</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>1</em><em>.</em><em>5</em><em>^</em><em>2</em><em>-</em><em>3</em><em>(</em><em>1</em><em>.</em><em>5</em><em>)</em><em>-</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>-</em><em>6</em><em>.</em><em>2</em><em>5</em>

<em>therefore</em><em> </em><em>the </em><em>axis </em><em>of</em><em> symmetry</em><em> is</em><em> (</em><em>1</em><em>.</em><em>5</em><em>,</em><em>-</em><em>6</em><em>.</em><em>2</em><em>5</em><em>)</em>

<em>I </em><em>hope </em><em>this </em><em>helps</em>

You might be interested in
You and your friend are selling subscriptions for a fundraiser. After w weeks you have sold (3w+4) subscrions and your friend ha
soldier1979 [14.2K]
3w + 4 - 5w + 1

-2w + 5
6 0
3 years ago
Urgent help! This is very important please help me fast! How do you do: Expand &amp; simplify:(x 4)(x 2)
ahrayia [7]
So the question is asking: (x-4)(x-2)
because there is a bracket in between the two expressions it means we have to multiply them together: (x-4) x (x-2)

you can break down the question into smaller parts:
x multiply x
x multiply -2
-4 multiply x
-4 multiply -2

here are the answers:
x^2 (means x squared)
-2x
-4x
8 (because when you multiply two negative numbers it makes a positive)

now you put it into an expression (this is expanding):
x^2 - 2x - 4x + 8

to simplify it you collect like terms:
x^2 - 6x + 8

The above is the answer :)
4 0
4 years ago
Carson bought a coat for 40% of the original price, then another 15% off the discounted price. If the coat originally cost $149,
irinina [24]
Answer: $75.99

Steps: 149×0.6= 89.4
Multiply 89.4×0.85= 75.99

Hope this helps ʕ•ᴥ•ʔ
5 0
3 years ago
Find the surface area of the pyramid
jolli1 [7]

The surface area is ≈ 451.92

5 0
3 years ago
HELP THIS is due in 30 mins Renaldo described the translation of the graph of f(x) = x2 related to g(x) = (x + 2)2 - 6 as 2 unit
stiv31 [10]

Answer:

See below

Step-by-step explanation:

Recall that we need to use the equation y=a(x-h)^2+k. This means that h=-2 instead of 2 otherwise it would've been (x-2)^2-6. So Renaldo made the mistake of identifying h as 2 instead of -2. The second mistake Renaldo made is that since k=-6, there should be a vertical shift of 6 units down not 2.

5 0
3 years ago
Other questions:
  • The number p is 20 more than the number q . using algebra write the relationship between p and q .
    12·1 answer
  • What is ​ 12 5/25 ​ as a mixed number in simplest form?
    11·2 answers
  • Write a proof to show that opposite angles of a parallelogram are congruent. Be sure to create and name the appropriate geometri
    15·1 answer
  • How many different factors does the number 40 have?
    11·1 answer
  • What is the distance between Harry’s home and his office?
    9·1 answer
  • What is the slope intercept form of the equation -7x +14y=-35​
    8·2 answers
  • 6th grade math help me pleaseeeee
    12·2 answers
  • Joey borrowed $200 at an interest rate of 2%. He paid $16 in interest. Find the amount of time for which Joey borrowed the money
    15·2 answers
  • OMG PLEASE HEEELLLPPPP ME PLEASE I WILL GIVE TONS OF POINTS.
    6·1 answer
  • What is the sum of 10.8 + 42 4/5?<br> A) 52 1/5<br> B) 52 3/5<br> C) 53 1/5<br> D) 53 3/5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!