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3 years ago

Help plz!!!

Mathematics

1 answer:

AleksandrR [38]3 years ago

7 0

Answer:

First graph

Step-by-step explanation:

First off, the graph opens up because <em>a</em> is positive. Second, the parent function of the quadratic graph is $\displaystyle y = x^2,$ and the greater the WHOLE NUMBERS [vertical stretch (<em>a</em>)] get, the slimmer the parabola gets, and the more you increase the DEGREE evenly [anything ending in 0, 2, 4, 6, and\or 8], the more flat, U-shaped the parabola becomes.

I am joyous to assist you anytime.

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3 years ago

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .

Substitute these two values into the equation for this parabola:

$7 = (7 - 6)^{2}\, a + 5$ .

Solve this equation for $a$ :

$7 = a + 5$ .

$a = 2$ .

Hence, the equation of this parabola would be:

$y = 2\, (x - 6)^{2} + 5$ .

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3 years ago

6,780,000 in scientific notation

klio [65]

Answer:

105 = 100,000 x 6.78 = 678,000

Step-by-step explanation:

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Find equation to the given value of the curve x=t^5+1, y=t^6+t, and t=-1. please help I keep getting y=-1.4x and it is incorrect

irakobra [83]

Well for the function of x we have x=t^5+1 and we know t= -1

So you plug in -1 instead of the t and you will get x=(-1)^5+1
Now just resolve that equation to get the value of x

x = (-1)^5+1 = -1+1 = 0 So x=0

Do the same with y and you’ll get y=2

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3 years ago

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hram777 [196]

-(2x+4)= 18

Divide -

2x+4= -18

Subtract 4

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Divide 2

x= -11

-(2(-11)+4)= 18

18= 18

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