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2 years ago

Which transformation causes the described change in the graph of the function y = cos x?

1 answer:

8 0

Horizontal Shrink: y = cos 2x or if the coefficient of x is greater than 1
Vertical Stretch: y = 2 cos x or if the coefficient if cos x is greater than 1
Horizontal Stretch: y = cos (1/2) x or if the coefficient of x is less than 1
Vertical Shrink: y = (1/2) cos x or the coefficient of cos x is less than 1

The base value is 1 since it is the original coefficient of x and cos x. The values would adjust depending on the original coefficients.

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23:

irina [24]

Answer:

$(-\frac{3}{7}, 0)$ -- x intercept

$(0,3)$ -- y intercept

Step-by-step explanation:

Given

$y = 7x + 3$

Required

Determine the x and y intercept

For x intercept.

Set $y = 0$

So, we have:

$y = 7x + 3$

$0 = 7x + 3$

Collect Like Terms

$7x = -3$

Make x the subject

$x = -\frac{3}{7}$

Hence, the x intercept is: $(-\frac{3}{7}, 0)$

For the y intercept;

Set $x = 0$

So, we have:

$y = 7x + 3$

$y = 7*0 + 3$

$y = 0 + 3$

$y = 3$

Hence, the y intercept is: $(0,3)$

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