All categories

3 years ago

The equation below describes a parabola. If a is negative, which way does the parabola open?

2 answers:

const2013 [10]3 years ago

6 0

Given equation : y=ax^2
Taking a to the other side we have, x^2=(1/a)*y
This equation describes a parabola that opens up.
When a is negative, the focus is on the negative y-axis, therefore, the parabola opens down.
The answer is a. down.

sladkih [1.3K]3 years ago

4 0

Answer:down

Step-by-step explanation:

You might be interested in

What are the transformations? f left parenthesis x right parenthesis space equals negative 3 left parenthesis x minus 4 right pa

Phoenix [80]

Answer:

The graph of the functions moves 4 units right, 3 units up stretches vertically by a factor of 3 and reflects horizontally.

Step-by-step explanation:

In order to find the function transformations, we must first determine what the base function is:

$f(x)=x^{2}$

Next, we need to determine how the function is being affected by the transformations.

When the graph of the function moves 4 units right, we mus subtract 4 units from x, so the function looks like this then:

$f(x)=(x-4)^{2}$

If we need to stretch it vertically by a factor of 3, we need to multiply the function by 3:

$f(x)=3(x-4)^{2}$

If we need to reflect it horizontally, then we turn the 3 into a negative so we get:

$f(x)=-3(x-4)^{2}$

And finally, if we wanted to move the graph up by 3 units, then we need to add 3 units to the whole graph, so we get:

$f(x)=-3(x-4)^{2}+3$

in the attached picture you will be able to see the graph of the base function with all the transformations.

8 0

3 years ago

Expand and simplify : A) (x+7)(x+10). B) (X-3) (X-9)

garri49 [273]

Answer:

Step-by-step explanation:

A) Using the foil method and distribution, you should get x²+10x+7x+70 from (X×X)+(X×10)+(X×7)+(7×10). When you combine these like terms, you get x²+17x+70.

B) Using the same ideology from part A, when you multiply x-3 into x-9. you should get x²-9x-3x+27. Simplifying this will give you x²-12x+27.

6 0

3 years ago

A 16-inch cheese pizza at Fine Dough Pizza costs $10.00 and each additional topping is $1.50. The same size pizza at Johnson's P

balu736 [363]

The amount of times will be 3

7 0

3 years ago

A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and

Dennis_Churaev [7]

Step-by-step explanation:

=>>. Hello mate. (◕ᴗ◕✿)

= Given :-

perimeter of traingle = 58 feet

 let the third side be. "X" feet

  longest side = (2x - 8) feet

 shorter side = (x + 2) feet

Perimeter of traingle = sum of all three sides

=> A/q. ,

( x ) + ( 2x - 8 ) + ( x + 2) = 58. ✓✓✓

 x + 2x - 8 + x + 2 = 58

=>. 4x - 6 = 58

=> 4x = 58 + 6

=> 4x = 64

=>. x = 64/4

 =|. x = 16 feet

length of third side = 16 feet

length of shorter side = 18 feet

length of longest side = 24 feet

 Hope it helps you.......

5 0

3 years ago

Plz hurry and help it’s not a texts it’s a study guide.

Veronika [31]

Answer:

I do not know the answer but I think it is (1,0) x (-3,4)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers