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
Scrat [10]
3 years ago
15

What is the vertex of the parabola given by the equation y x^2+ 4?

Mathematics
2 answers:
max2010maxim [7]3 years ago
4 0

Format of Quadratic Equation:  y = ax2 + bx + c

Given Quadratic Equation:  y = 2x2 - 3x + 3

Coefficient Variable Values:  a = 2 and b = -3 and c = 3

Axis of Symmetry:  x = -b/2a = -(-3)/2(2) so answer is x = 3/4

Vertex:  x value is axis of symmetry (3/4) and y value is calculated substituting 3/4 for x in original equation:  y = 2(3/4)2 - 3(3/4) + 3 = 2(9/16) - 9/4 + 3 = 9/8 - 9/4 + 3 = 9/8 - 18/8 + 24/8 = 15/8,
so answer is (3/4,15/8)

x intercepts (solve using quadratic formula):  x = (-b plus or minus sqrt(b2 - 4ac)/2a, so plugging in coefficient values for a and b and c, we get x = [-(-3) plus or minus sqrt((-3)2 - 4(2)(-3)]/2(2), which results in x = (3 + sqrt(33))/4 or (3 - sqrt(33))/4 and answers to nearest tenth are x = (3 + 5.7) / 4 = 2.2
or x = (3 - 5.7) / 4 = -0.7

y intercept is calculated by substituting zero for x into original equation:  y = 2x2 - 3x + 3, so y-intercept is 3.

Domain is range is from calculated negative x intercept (-0.7) to calculated positive x intercept (2.2) and is written as (-0.7,2.2)

Range is from calculated y-intercept to positive infinity, since parabola opens up due to positive x2 coefficient value, so range is written as (3,positive infinity).  Note:  infinity symbol is sideways 8.         

Anastasy [175]3 years ago
4 0

Answer: I believe it’s (0,4)

You might be interested in
2[( 62 -52) + 4]<br> Need help
luda_lava [24]

Answer:

28

Step-by-step explanation: USE PEDMAS  

2[(62-52)+4] = 2[(10)+4]= 2[14]=28

5 0
2 years ago
Pls help i am in k12
suter [353]

Answer:

image not good

Step-by-step explanation:

7 0
3 years ago
Select all the solutions to <br> ( x - 2) to the power of 2 = -16
leonid [27]
The answer are both:
x=2+4i,2-4i
4 0
3 years ago
PLEASE HURRY!! I HAVE TO GET THIS DONE NOW AND IM STUCK ON IT A LITTLE. MAKE SURE TO ANSWER THEM ALL PLEASE! THXS
Sphinxa [80]

Answer:

v = 2419200in³

Step-by-step explanation:

v=l*b*h

=240*84*120

=2419200in³

3 0
1 year ago
Read 2 more answers
What is the sum of 4*8<br><img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208" id="TexFormula1" title="4 \times 8" alt="4 \times
Inessa [10]
See picture reply for answer.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which statements are true about these lines? Select three<br> options.
    9·1 answer
  • Im not sure how to solve this
    14·1 answer
  • A ratio is defined as
    8·1 answer
  • 5 root 12 + 4 root 12 - 3 root 18 + 75​
    8·1 answer
  • .Write a division equation so that it has a solution of -2
    14·1 answer
  • Wut is 2+2 i willy need hewp pwease
    6·1 answer
  • Is this right??? Please help!!
    11·1 answer
  • when a boy complete 5 rounds around circular pond, he covers a distance of 1100 m. i)Find the perimeter of the pond.​
    15·2 answers
  • -n - 6n + 4 = 53<br> How do I solve this
    12·2 answers
  • Sandy spent 1/4 of an hour waiting to see the dentist which was 1/6 of the total time she spent at the dentist's office. What wa
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!