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3 years ago

why write a quadratic function whose graph has the given characteristics vertex :(2,3) point on graph (0,-1)

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

<h3>Answer:</h3>

f(x) = -(x -2)² +3

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

We can fill in the vertex (h, k) values immediately in the vertex form ...

... f(x) = a(x -h)² +k

To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:

... -1 = a(0 -2)² +3

... -4 = 4a . . . . . . . . . subtract 3, simplify

... -1 = a . . . . . . . . . . . divide by 4

Now, we know the function is ...

... f(x) = -(x -2)² +3

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A cube has a side length of 12 m what is the volume of the cube?

AfilCa [17]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ volume = length x width x height

volume = 12 x 12 x 12

volume = 1728

The volume is 1728 cm^3

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0

3 years ago

Read 2 more answers

What is the first step in solving the equation

Varvara68 [4.7K]

Answer:

First Step: separate x^2 from -16

Second Step: add -16/25 to the other side.

Step-by-step explanation:

x^2 - 16/25 = 0

^^ this might be easier if you separate x^2 and -16

<em>First Step-</em>

so rewrite the problem as x^2/25 -16/25 = 0

then...

<em>Second Step-</em>

add -16/25 to the other side. This makes it: x^2/25 = 16/25

<em>Continuation-</em>

Now, you can multiply 25 on both sides to cancel it out.

so you have x^2 = -16

Message me if you want to solve for x.

4 0

3 years ago

Read 2 more answers

Plss need help, question on pic below

horsena [70]

Answer:

polygon klhij is congruent to polygon vwstu

Step-by-step explanation:

7 0

2 years ago

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Please help!!<br> Simplify the expression:<br> 1) (m^2m^3)^4<br> 2) (x^4x)^2

max2010maxim [7]

Hello! I hope i’m correct!! :)

Answer:

1) 20^m

2) x^10

Step-by-step explanation:

$(m^{2+3})^{4}$

$(m^{5})^{4}$

$=$ $m^{20}$

First expression: m^20

______________________________

$(x^{5} )^{2}$

$=x^{10}$

Second expression: x^10

Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ⭐️

(Sorry if this is incorrect!)

~By, BrainlyAnime~ <3

5 0

3 years ago

Can someone help me with this diagram problem?

mart [117]

Answer: the diagonal is 10 units

Step-by-step explanation:

The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.

To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 5² + (5√3)²

d² = 25 + 25×3 = 100

d = √100

d = 10 units

6 0

2 years ago