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
KiRa [710]
3 years ago
7

Complete the square than convert to vertex form. y=2x^2+8x-9​

Mathematics
1 answer:
8_murik_8 [283]3 years ago
3 0

y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0

There are 2 roots so the only way to complete the square is,

y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: y=2(x+2)^2-17

You might be interested in
Whats the solution for y=2x-4, y=3x-7
kodGreya [7K]
The solution for y=2x-4: y= -8

The solution for y=3x-4: y= -12
8 0
2 years ago
Read 2 more answers
Which operation transformed matrix I to matrix ll?
quester [9]

Answer:

D

Step-by-step explanation:

I took the test

6 0
2 years ago
Tammy Has 61 hockey cards and 5 cards on each page. How many pages can tammy complete?
Nutka1998 [239]
She can complete 12 pages
8 0
3 years ago
Read 2 more answers
Write an equation for the graph below in slope-intercept form:
Zanzabum

Answer: y<1x-2

Step-by-step explanation:

Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.

First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it  already indicates that the y intercept is -2 .

(0,-2)

(2,0)   Use these points o the find the slope.

0- 2 = -2

-2 -0 = -2

-2/-2 = 1   The slope is one so the equation will be y = 1x - 2   But since this is not an inequality we have to change the equal to sign to an inequality sign.

Looking at the line, it is a dashed line so the inequality sign will be > or <  

The painted side of the graph represents the solutions of the graph  and that is all underneath the graph so the inequality will be   y < 1x-2

8 0
3 years ago
Linear Equations
rjkz [21]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • What are the solutions
    13·1 answer
  • If x = a + bi and y = –a – bi, x + y = 0
    9·1 answer
  • Find the value of x if a triangle measures 65, x, x-5
    11·1 answer
  • Complete the steps to find the area of the trapezoid.
    9·2 answers
  • To the nearest hundredth, what is the value of x?
    15·2 answers
  • Can someone help me pls
    8·1 answer
  • A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large
    13·1 answer
  • The value of a baseball​ player's rookie card began to increase once the player retired. When he retired in 1997 his card was wo
    9·1 answer
  • The magic number is -15. Combine each statement with the magic number and determine if it will result in zero. _______ a. An ele
    6·1 answer
  • What is the final amount of a $300 investment earning 4.5% interest compounded quarterly for 3 years?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!