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3 years ago

The vertex form of the equation of

Mathematics

1 answer:

Ivan3 years ago

4 0

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

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What does the quadratic function f(x)=x^2-10x+9 look like when it is rewritten in the form f(x) = a (x-h) + k

Tatiana [17]

ANSWER

When $f(x)=x^2-10x+9$ is written in the form $f(x)=a(x-h)^2+k$ , it looks like $f(x)=(x-5)^2-16$

EXPLANATION

To write $f(x)=x^2-10x+9$ in the form $f(x)=a(x-h)^2+k$ , we have to complete the squares.

We add and subtract half the coefficient of $x$ square.

$f(x)=x^2-10x+(-5)^2-(-5)^2+9$

The first three terms of the function is now a perfect square.

$f(x)=(x-5)^2-25+9$

We now simplify rto obtain,

$\Rightarrow f(x)=(x-5)^2-16$

6 0

3 years ago

i need help with my math :( im horrable with it i cant do divideing fractions nor multiply and i dont know most of my multiples

vladimir1956 [14]

Step-by-step explanation:

To multiply the fractions, like

$\frac{1}{4} \times \frac{1}{9}$

Multiply the top,

then multiply the bottom.

$\frac{1}{4} \times \frac{1}{9} = \frac{1 \times 1}{4 \times 9} = \frac{1}{36}$

Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.

To divide fractions, like

$\frac{ \frac{1}{5} }{ \frac{1}{8} }$

You take the top number,

$\frac{1}{5}$

Then you flip the bottom number,

$\frac{8}{1}$

Then multiply the two

$\frac{1}{5} \times \frac{8}{1} = \frac{8}{5}$

And that is your answer. Comment if you need more clarification

6 0

1 year ago

All rectangles are paralloelograms

Anni [7]

Answer:

not all rectangles are paralloelograms.

Step-by-step explanation:

8 0

2 years ago

Help I need to tune in all my late work ...

Elena-2011 [213]

Should be a scale factor of y= 1/9

8 0

3 years ago

Read 2 more answers

Test 69,902 for divisibility by 2, 3, 5, 9, or 10.

Keith_Richards [23]

Its only divisible by 2.

5 0

3 years ago