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choli [55]
1 year ago
6

2.1 & 2.2 Assessment: Vertex & Standard Form of Quadratic Functions

Mathematics
1 answer:
Brums [2.3K]1 year ago
6 0

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=1\\ k=-9 \end{cases}\implies y=a(x-1)^2 - 9\qquad \textit{we also know that} \begin{cases} x=2\\ y=-7 \end{cases} \\\\\\ -7=a(2-1)^2-9\implies 2=a(1)^2\implies 2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} y=2(x-1)^2 -9 \end{array}} ~\hfill

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Yasmeen bought 16 pizzas for her grade level classes.
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Express (16^3)^1/2 <br> in simplest radical form.
Rufina [12.5K]

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

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Step-by-step explanation:

6 0
3 years ago
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scoundrel [369]

Answer:

B, A

Step-by-step explanation:

In the first equation, if an unknown number plus 17 equals 66, then what step would you take?

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In this example, if x + 17 = 66, then subtracting 17 from both sides gets us x = 49.

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BRAINLIEST<br>through: (-3,5) parallel to y=-2x-3
umka2103 [35]

Answer:

Parallel Lines have the SAME SLOPE

We first Find the Slope of the line  

y = 2 x + 3

The Slope Intercept Form of the equation of a given line is:

y = m x + c

where  m  is the Slope of that line, and  c  is the Y intercept. For this line, the Slope is  2  So the Slope of the line PARALLEL to  

y = 2 x + 3

will also be  2 . And we are given that it passes through the point  

( − 3 , 4 )  

With this, we can use the Point Slope form to find the equation of the line.  

The Point-Slope form of the Equation of a Straight Line is:

( y − k ) = m ⋅ ( x − h )  m  is the Slope of the Line  

( h , k )  are the co-ordinates of any point on that Line.  

Here, we have been given the coordinates  

( h , k )  of 1 point on that line as  ( − 3 , 4 )  

And the Slope  m  is  2

Substituting the values of  h , k and m  in the Point-Slope form, we get

( y − 4 ) = ( 2) ⋅ ( x − ( − 3 ) )

The above will be the Equation of the Line in Point-Slope form.

If we need it in the Slope Intercept Form, we need to follow these steps:

Modifying the equation, we get:

( y − 4 ) = 2 ⋅ ( x + 3 )  

y − 4 = 2 x + 6

y = 2 x + 6 + 4  

We get the equation of the line as :

y = 2 x + 10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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