All categories

3 years ago

Write the quadratic function in standard form. y=2(x - 3)² +9

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

5 0

Answer:

y = 2x^2 - 12x + 27

Step-by-step explanation:

<u>Step 1: Distribute the power</u>

y = 2(x - 3)² + 9

y = 2(x^2 - 6x + 9) + 9

y = 2x^2 - 12x + 18 + 9

y = 2x^2 - 12x + 27

Answer: y = 2x^2 - 12x + 27

You might be interested in

Answer true or false for 1-10 (picture above)

Softa [21]

$\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a+b}\leq\sqrt{a}+\sqrt{b}\\\\\sqrt{a-b}\geq\sqrt{a}-\sqrt{b}\\----------------------\\1)\ \sqrt{72}=\sqrt{9\cdot8}=\sqrt{9}\cdot\sqrt{8}\qquad TRUE\\\\2)\ \sqrt{13-5}=\sqrt{13}-\sqrt5\qquad FALSE\\\\3)\ \sqrt{9\cdot10}=\sqrt9+\sqrt{10}\qquad FALSE\\\\4)\ \sqrt{18bx}=\sqrt{18}\cdot\sqrt{b}\cdot\sqrt{x}\qquad TRUE\ if\ b\geq0\ and\ x\geq0\\\\5)\ \sqrt{8\cdot12}=\sqrt8\cdot\sqrt{12}\qquad TRUE\\\\6)\ \sqrt{m+x}=\sqrt{m}+\sqrt{x}\qquad FALSE$

$7)\ \sqrt{100+64}=\sqrt{100}+\sqrt{64}\qquad FALSE\\\\8)\ \sqrt{30}=\sqrt{5\cdot6}=\sqrt5\cdot\sqrt6\qquad TRUE\\\\9)\ \sqrt{44}=\sqrt{22+22}=\sqrt{22}+\sqrt{22}\qquad FALSE\\\\10)\ \sqrt{10\cdot10}=\sqrt{10}\cdot\sqrt{10}\qquad TRUE$

3 0

3 years ago

Are 2(x-5) and 2x-5 equivalent

Mandarinka [93]

No, because with the parentheses, you distribute the 2 to both the x and the 5, making that equation 2x-10

7 0

3 years ago

Read 2 more answers

How to classify 17/10

storchak [24]

Answer:

rational

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If y = 5x − 4, which of the following sets represents possible inputs and outputs of the function represented as ordered pairs?

zzz [600]

The answer is not in the choices so ... but the (0,4), (1,1), (2,6)

Hope This Help.

Xd <3

6 0

3 years ago

Please answer this correctly

Sav [38]

Answer:

The range would not change

Step-by-step explanation:

If we replaced one of the 7s with a 5, we still have a 7. The range will be the highest number minus the lowest number (7 - 1 = 6). So the range would still not change because we still have another 7.

6 0

3 years ago