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3 years ago

Which is the equation of the following graph in vertex form?

Mathematics

1 answer:

Inessa05 [86]3 years ago

6 0

Answer:

(-3, -1)

Step-by-step explanation:

Vertex is either the coordinates of the maximum or the minimum

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Write an equation that has a graph with the shape of y = x^2, but shifted left 3 units.

svetoff [14.1K]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf % template detailing
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\$

$\bf \bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

now, with that template in mind, let's see

$\bf y=x^2\implies 
\begin{array}{llll}
y=(&1x&-0)^2\\
&B&C
\end{array}$

so, just change C to +3, thus C/B is 3/1

6 0

3 years ago

The sum of two integers is 627, and the larger number is 27 more than 7 times the smaller number. Find the two integers.

Alex777 [14]

Answer:

75 and 552 =627

Step-by-step explanation:

First=x

Second 7x+27

x+ 7x+27= 627

8x+27=627

8x=600

x=75

75*7+27 =525

525+27 = 552

7 0

3 years ago

Click or touch the graph to plot the points.

lina2011 [118]

Answer:

the answer is C

Step-by-step explanation:

the y intercept is on the right, so (x, y)

and the third option has (4,8) so 8 is on the y

4 0

4 years ago

What theorem shows that GTY=GUX?

wlad13 [49]

Answer:SAS

Step-by-step explanation:

The line show congruent line which means two sides. Since it has vertical angles it has a angle.

6 0

3 years ago

As a salesperson, you are paid $52 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequali

ArbitrLikvidat [17]

Answer:

s≥16

Step-by-step explanation:

3s+52≥100

3s≥100-52

3s≥48

s≥48/3

s≥16

6 0

3 years ago

Which is the equation of the following graph in vertex form?​

Which is the equation of the following graph in vertex form?