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
ehidna [41]
3 years ago
12

The graphs shown are of the form y = ax2. Which graph has the smallest value for a?

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0
y= x^{2} is a parabola (looks like the letter U).

The letter a represents the coefficient of x^{2} and it controls two things (1) how wide or narrow the parabola is and (2) whether it is concave up (like a U) or concave down (like an up-side-down).

The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.

If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.

So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.

The a also controls whether the graph is concave up or concave down. If a is negative

If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.

So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)
You might be interested in
Which one equals 16 if you set it up like this? Please Halp
Sveta_85 [38]
The first one equals 16. The second one equals 0.0625
6 0
3 years ago
How do find the answer in subtractiion problem, when the top number is smaller than the bottom
Travka [436]
Use a number line if you need 4/10 - 6/10 = -2/10a simpler way is to do the opposite 6/10 - 4/10 = 2/10  then the answer would be the opposite as well. so, -2/10
8 0
3 years ago
Read 2 more answers
Last year, 400 signed up to take a virtual kickboxing class. This year, there was a 5% increase in registrations. How many peopl
ale4655 [162]

Answer:

420 people

Step-by-step explanation:

400*1.05=420

3 0
3 years ago
-4x -6 = 3 - 5x<br> Solve for x pls
ycow [4]

Answer:

x = 9

Explanation:

  • -4x - 6 = 3 - 5x
  • Add 6 to both sides

-4x - 6 + 6 = 3 - 5x + 6

-4x = -5x + 9

  • Add 5x to both sides

-4x + 5x = -5x + 9 + 5x

  • x = 9

- PNW

4 0
2 years ago
Read 2 more answers
6.
Hatshy [7]

Answer:

B. –7x +7y = –49

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  

(

0

,

−

7

)

x

y

0

−

7

1

−

6

5 0
3 years ago
Other questions:
  • What times what equals -20 that also equals -1 when added
    13·1 answer
  • The line segment has an endpoint (5,-6) and the midpoint is (-2,3). Find the other point.
    6·1 answer
  • What is the slope and y-intercept of a vertical line
    5·1 answer
  • Find the simple interest on a $340 loan at a 12% annual interest rate for 5<br> years *
    11·2 answers
  • Make a table of values with the equation provided. Thanks! :)
    7·1 answer
  • THIS IS MY LAST QUESTION AND ITS DUE RIGHT NOW
    11·2 answers
  • 2, 9, 16,<br>.. 37, what i​
    9·1 answer
  • How do i learn this subject easily?
    12·2 answers
  • Please help me solve
    7·1 answer
  • HELP!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!