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olga2289 [7]
3 years ago
6

in two or more complete sentences identify the parent function and describe the transformations that were applied to obtain the

graph f(x)= sqrt 2x+6 +2
Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0
The parent function is f(x)=√x.

This graph has been transformed by a translation left 6 units, a translation up 2 units, and a stretch by a factor of 2.

Adding a number at the end of a function results in a vertical translation.
Adding a number inside of a function, in this case under the square root, translates the graph horizontally.
Multiplying the variable by a number before another operation results in a stretch or shrink of the graph.
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Answer:

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Step-by-step explanation:

3 0
3 years ago
Tom throws a ball into the air.
hram777 [196]
<span>h = -8t² + 40t

dh/dt = 0
⇒ d/dt(</span><span>-8t² + 40t) = 0
⇒ -16t + 40 = 0
⇒ 16t = 40
⇒ t = 40/16 = 2.5s

So it takes 2.5 seconds to reach highest point

h = -8×2.5² + 40×2.5 = -50 + 100 = 50
Ordered pair: (h,t) = (50,2.5)
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3 years ago
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Softa [21]

Answer:

CAB = 30.71   BCA = 90    ABC = 59.29

Step-by-step explanation:

BCA = 90

9x + 6 + 5x = 90

14 x = 90-6 = 84

x = 43/7

(43/7 ) * 5 = 30.71

90 - 30.71 = 59.29

6 0
3 years ago
Which of the following describes the graph of 2x + 4y &lt; 16?
kherson [118]
<h3>Answer: A) Dashed line, shaded below</h3>

=============================================================

Explanation:

2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).

The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16

To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".

We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.

---------------------

Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.

Plug those coordinates into either equation. I'll pick the second equation

y < -0.5x+4

0 < -0.5*0+4

0 < 0+4

0 < 4

The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4

So this is another way to see that the shaded region is below the boundary line.

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3 years ago
What is the equation of the following graph in vertex form?
anygoal [31]

Answer:

I think the answer is 0,8

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