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3 years ago

Which of the following could be the equation for a parabola that opens down with the vertex (-11,-28)?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

8 0

Answer:y=-5(x+11)^2 -28

Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?

First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)

Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.

Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.

I hope that helps!

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Find the distance between the pair of points that given on the graph?

katen-ka-za [31]

Answer:

$\displaystyle d = \sqrt{74}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a coordinate plane
Coordinates (x, y)

Algebra Ii

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$

Step-by-step explanation:

Step 1: Define

Find endpoints from graph

Point (-3, -3)

Point (4, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(4- -3)^2+(2- -3)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{7^2+5^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{49+25}$
[√Radical] Add: $\displaystyle d = \sqrt{74}$

8 0

2 years ago

What is a factor table

SashulF [63]

A factor table is like this chart of numbers.

7 0

2 years ago

What is the absolute value of -2/3??? PLEASE HELP!

d1i1m1o1n [39]

Answer:

2/3

Step-by-step explanation:

The absolute value of a negative number will switch to a positive when the indicators are removed.

7 0

3 years ago

Eggs flour and sugar are mixed in the ratio of 3: 5: 4 by mass to make a cake. If the mass of the sugar is 240g find the mass of

zhuklara [117]

Answer:

eggs four sugar

3 5 4

mass of eggs;

4=240

3=?

3x240/4

mass of eggs=180g

mass of flour

4=240

5=?

5x240/4

mass of flour =300g

Step-by-step explanation:

5 0

2 years ago

Giving brainliest to anyone who answers

cricket20 [7]

D1=25°

B3=25°

B1=30°

Step-by-step explanation:

1. O1+O2=360°(revolution)

310°+O2=360°

O2=360°-310°

=50°

O2=2D1(centre theorem)

50°=2D1

D1=25°

2. D1=B3=25°(tan chord theorem)

3. B2+B3=A=60°(tan chord theorem)

B1+B2+B3=90°(Radius perpendicular Tangent)

B1+60°=90°

B1=90°-60°

=30°

5 0

3 years ago