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3 years ago

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics

1 answer:

svet-max [94.6K]3 years ago

7 0

Answer:

D. $g(x)=(x+4)^{2}-3$

Step-by-step explanation:

g(x) is a translated function. Compared to the parent function, f(x)= $x^{2}$ , it has been shifted 4 left and 3 down. The rule for quadratic functions is $y=a(x-h)^{2} +k$ , where h is the x-translation (horizontal) and k is the y-translation (vertical). In g(x) h=-4 and k=-3. While it might seem like h is positive, remember that since in rule it is being subtracted it must be negative.

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(75 points) need help now

Igoryamba

Answer:

A is not a function

Step-by-step explanation:

In table A, the x value of 4 goes to two different y values

To be a function each x value can only go to one y value

A is not a function

4 0

3 years ago

Find the equation of the graphed line.

VikaD [51]

The last one hope this helps
Y=Mx+b b is always on the y intercept so that canceled out c and b is canceled out Bc the Mx is negative and it can’t just be 6 Bc there is no point on where it clear like right on the point if u can understand that so that just leaves u with d y=-7/6x-7

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3 years ago

What is the solution of -8/2y-8=5/y+4 - 7y+8/y^2-16

blsea [12.9K]

Answer:

Step-by-step explanation:

$Domain:\\\\2y-8\neq0\ \wedge\ y+4\neq0\ \wedge\ y^2-16\neq0\\\\2y\neq8\ \wedge\ y\neq-4\ \wedge\ y^2\neq16\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq\pm\sqrt{16}\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq-4\ \wedge\ y\neq4\\\\\boxed{y\neq-4\ \wedge\ y\neq4}\\\\===========================$

$\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-4^2}\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{(y-4)(y+4)}\qquad\text{multiply both sides by (-2)}\\\\\dfrac{8}{y-4}=-\dfrac{10}{y+4}+\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{add}\ \dfrac{10}{y+4}\ \text{to both sides}\\\\\dfrac{8}{y-4}+\dfrac{10}{y+4}=\dfrac{14y+16}{(y-4)(y+4)}$

$\dfrac{8(y+4)}{(y-4)(y+4)}+\dfrac{10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{8(y+4)+10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{use the distributive property}\\\\\dfrac{8y+32+10y-40}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{combine like terms}\\\\\dfrac{(8y+10y)+(32-40)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{18y-8}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\iff18y-8=14y+16\\\\18y-8=14y+16\qquad\text{subtract 14y from both sides}$

$4y-8=16\qquad\text{add 8 to both sides}\\\\4y=24\qquad\text{divide both sides by 4}\\\\y=8\in D$

8 0

4 years ago

Lamar goes shopping for a new flat-panel television. A television is usually described by the length of the screen's diagonal. H

sp2606 [1]

Answer:

The width is 36.4 inches

Step-by-step explanation:

we know that

Applying teh Pythagorean Theorem

$D^2=h^2+W^2$

where

D is the length of the diagonal of the television

W is the width

h is the height

substitute the given values

$42^2=21^2+W^2$

solve for W

$W^2=42^2-21^2\\W^2=1,323\\W=36.4\ in$

6 0

3 years ago

Find the z-scores that delineate the middle 96% of all values from the others. enter your answers to 2 or 3 decimal places. from

scZoUnD [109]

The z-score that delineates the middle 96% of all vallues from others is obtained as follows.

$100(1-\alpha)\%=96\% \\ \\ 1-\alpha=0.96 \\ \\ \alpha=1-0.96=0.04 \\ \\ \alpha/2=0.04\2=0.02 \\ \\ z_{0.02}=2.054$

Therefore, <span>the z-scores that delineate the middle 96% of all values from the others</span> is 2.05

4 0

3 years ago

The graphs below have the same shape. What is the equation of the blue graph?​

The graphs below have the same shape. What is the equation of the blue graph?