The ratio 216: x is equivalent to the ratio x^2: 216. What is the value of x?

DerKrebs [107]

1) For each of these, keep in mind vertex form: f(x)=a(x-h)^2+k. With vertex form, a is the direction and width, h is the horizontal placement of the vertex, and k is the vertical placement. For the first one, notice that "a" is positive 1, so it faces up. This means that D, the one facing down, cannot be the answer. "h" is 1, so we will move the vertex to the right one unit (keep in mind (x-h), so if it were to be (h+3) you would move it to the left, not the right). "k" is -3, so we would move the vertex down 3 units. That said, the vertex should be at (1,-3) so the answer is C, or the one right below the first one.

2) The graph of f(x)=|2x| translated 5 units to the left means that h is equal to -5. When we plug -5 into vertex form, it should look like: g(x)=|2(x+5)|. The answer to this is A.

3) The equation for reflection on the x axis is f(x)=-a(x-h)+k. So, if the parent function f(x)=4|x| were to be reflected on the x axis, the function would look like this: g(x)=-4|x|. The answer to this should be B.

4) Since h=1 and k=0 in the function f(x)=-3|x-1|, the vertex will be (1,0).

5) This can also be written as g(x)=|x|-3. This means that k=-3, and will be a vertical translation of 3 units down.

8 0

3 years ago

Read 2 more answers

1. In which quadrant or on which axis do each of the points (-2,4) , (3,-1) ,(-1,0), (1,2) and (-3,-5) lie? Verify your answer b

pashok25 [27]

Point (-2 , 4) lies in the 2nd quadrant

Point (3 , -1) lies in the 4th quadrant

Point (-1 , 0) lies on the negative part of the x-axis

Point (1 , 2) lies in the 1st quadrant

Point (-3 , -5) lies in the 3rd quadrant

Step-by-step explanation:

Let us revise the signs of the coordinates in each quadrant

x and y coordinates are positive in the 1st quadrant
x-coordinate is negative and y-coordinate is positive in the 2nd quadrant
x and y coordinates are negative in the 3rd quadrant
x-coordinate is positive and y-coordinate is negative in the 4th quadrant
The general point on the positive part of x-axis is (x , 0), and on the negative part of x-axis is (-x , 0)
The general point on the positive part of y-axis is (0 , y), and on the negative part of y-axis is (0 , -y)

Now let us check the points

Point (-2 , 4) ⇒ red point

∵ x = -2 and y = 4

∵ x-coordinate is negative and y-coordinate is positive

∴ Point (-2 , 4) lies in the 2nd quadrant

Point (3 , -1) ⇒ blue point

∵ x = 3 and y = -1

∵ x-coordinate is positive and y-coordinate is negative

∴ Point (3 , -1) lies in the 4th quadrant

Point (-1 , 0) ⇒ green point

∵ x = -1 and y = 0

∵ x-coordinate is negative and y-coordinate is zero

∴ Point (-1 , 0) lies on the negative part of the x-axis

Point (1 , 2) ⇒ purple point

∵ x = 1 and y =2

∵ x and y coordinates are positive

∴ Point (1 , 2) lies in the 1st quadrant

Point (-3 , -5) ⇒ black point

∵ x = -3 and y = -5

∵ x and y coordinates are negative

∴ Point (-3 , -5) lies in the 3rd quadrant

<em>Look to the attached graph for more understand</em>

Learn more:

You can learn more about the four quadrant in brainly.com/question/9381523

#LearnwithBrainly

5 0

2 years ago

Find the volume of a box with length 25 cm, height 25 cm and width 1.0 m.

Xelga [282]

If the box if cubed for volume then lbh is 25x25x100=62500 cm ^3...if that's right. hope it helps any.

7 0

2 years ago

Which of the following equations is correct?

r-ruslan [8.4K]

Answer:

i have the same question someone helppppppp

Step-by-step explanation:

6 0

2 years ago

Will give brainliest

SCORPION-xisa [38]

Answer: 1/7776

Step-by-step explanation: Decimal if needed:0.00012

Hope this helped

6 0

2 years ago