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sweet-ann [11.9K]
3 years ago
8

What changes when the parent function

"f(x)=x^2" align="absmiddle" class="latex-formula"> is stretched by a positive factor?
Mathematics
1 answer:
Karolina [17]3 years ago
6 0

9514 1404 393

Answer:

  • vertical stretch: the function value (f) is multiplied by the stretch factor
  • horizontal stretch: the variable (x) is divided by the stretch factor

Step-by-step explanation:

A stretch can be vertical, horizontal, or both.

Multiplying the function value by a factor greater than 1 will stretch the graph vertically.

Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.

__

The graph is stretched by the factor according to how it is applied.

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An arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up
Papessa [141]

Answer:

s(t)=-9.8t^2+49t+58.8

Step-by-step explanation:

We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.

We know that equation of an object's height t seconds after the launch is in form s(t)=-gt^2+v_0t+h_0, where

g = Force of gravity,

v_0 = Initial velocity,

h_0 = Initial height.

For our given scenario g=-9.8, v_0=49 and h_0=58.8. Upon substituting these values in object's height function, we will get:

s(t)=-9.8t^2+49t+58.8

Therefore, the function for the height of the arrow would be s(t)=-9.8t^2+49t+58.8.

6 0
4 years ago
Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.
maxonik [38]

(a) Complementary angles

(b) Vertical angles

(c) Supplementary angles

<u>Explanation:</u>

Complementary angles are those two angles whose sum is 90 degrees.

Supplementary angles are those two angles whose sum is 180 degrees.

Vertical angles are the angles opposite each other when two lines cross.

(a)

Angles 1 and 5 are complementary angles

(b)

Angles 3 and 5 are vertical angles

(c)

Angles 3 and 4 are supplementary angles

6 0
3 years ago
Circle the numbers that are integers <br>5 --4 2.6 0.8 repeating and 100​
Lapatulllka [165]

Answer: 5, -4, 2.6, and 100

Step-by-step explanation:

7 0
3 years ago
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Rob Polanski is a tractor salesman. Last week his total sales amounted to $38,642.00, and he received $2,704.94 in commission. W
pentagon [3]
2704.94 / 38642 = 0.07 = 7%
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3 years ago
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Solve 2(3x-5)-3(6-4x)+(15x+3)
nadya68 [22]

Answer:

33x-25

Step-by-step explanation:

2(3x-5)-3(6-4x)+(15x+3)

6x-10-18+12x+15x+3

21x+12x-10-18+3

=33x-25

5 0
3 years ago
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