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2 years ago

The equation y=ax^2 describes a parabola. If the value of a is positive, which way does the parabola open?

Mathematics

1 answer:

Ivenika [448]2 years ago

8 0

<h3>Answer:</h3>

A. Up

<h3>Step-by-step explanation:</h3>

Parabolas are graphs that make U-shapes and are formed from quadratic equations.

Vertical Parabolas

There are 2 different types of parabolas: vertical and horizontal.

Vertical parabolas have a vertical axis of symmetry. So, they open up or down.
Horizontal parabolas have a horizontal axis of symmetry. So, they open left or right.

If the x-value is squared, then the parabola is vertical. So, this graph must open up or down.

Positive A-Value

The a-value is the coefficient before the squared term. In a vertical parabola, the graph opens up if the a-value is positive. On the other hand, the graph opens down when the a-value is negative.

In this case, the graph is a vertical parabola that opens up. This means that the range will have a minimum value but no maximum.

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Solve the system. 9=4x-2y 2x+6=y

Digiron [165]

Step-by-step explanation:

4x-2y = 9 ...1

2x-y = -6 ...2

if ...2 × 2

4x-2y = -12

9 is not equal to -12

4 0

2 years ago

Devaughn is 14 years younger than Sydney. The sum of their ages is 76. What is Sydney's age?

ad-work [718]

9514 1404 393

Answer:

Sydney is 45

Step-by-step explanation:

Let s represent Sydney's age. Then Devaughn's age is (s-14). The total of their ages is ...

s +(s -14) = 76

2s = 90 . . . . . . simplify, add 14

s = 45 . . . . . . . divide by 2

Sydney's age is 45.

___

<em>Check</em>

Devaughn's age is 45 -14 = 31. Their age total is 45 +31 = 76, as required.

5 0

3 years ago

Read 2 more answers

Solve for x.<br>– 6 = - 4/x

Law Incorporation [45]

Answer:

2/3 or in decimal form which is 0.6

Step-by-step explanation:

7 0

3 years ago

The number of students in high school has been increasing linearly since 1990. In 1997, there were 1125 students and in 2000, th

PtichkaEL [24]

Answer:

(x-1990)×25

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

8 0

3 years ago

Assuming there are no reflections or dilations,

Irina-Kira [14]

Answer:

Step-by-step explanation:

We can see that this graph looks something like the graph of:

f(x) = 1/x^2

But the asymptotes of 1/x^2 are at x = 0, and in this case we can see that the asymptotes are near x = -3.

This may mean that the graph has been horizontally shifted 3 units to the left.

A general way to write an horizontal shift of N units is:

g(x) = f(x + N)

if N is positive, then the shift is to the left, if N is negative, then the shift is to the right.

In this case, we will have;

g(x) = f(x + 3)

And f(x) = 1/x^2

then:

g(x) = 1/(x + 3)^2

Graphing that, we get the graph shown below, that is almost the same as the graph in the image.

8 0

3 years ago