Answer:
1 unit right and 3 units up
Step-by-step explanation:
The graph of the given function has equation

This is obtained after translating the graph of

We can rewrite f in terms g to obtain:

This is a shift to the right by 1 unit and and a shift up by 3 units.
Therefore

is a translation of

1 unit right and 3 units up
Ummm I am no help sorry I only have one brain cell
Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
When an equation has a line with an undefined slope, it means that the line is vertical.
(2,5); 2 is the x - coordinate and 5 is the y - coordinate
Slope - intercept form: y = mx + b
As shown above, the equation would've been written in slope - intercept form, where 'm' represents the slope and 'b' represents the y - intercept. However, in this case, the slope is undefined.
In the equation, you are ONLY looking for the x - intercept. Therefore, the x - intercept is 5, so that may be the equation of the line.
x = 5
Answer:
θ = 67.4°
Step-by-step explanation:
using the <u>SOHCAHTOA </u>method,
Here opposite is 12 cm, hypotenuse is 13 cm, adjacent is 5 cm.
Using the formula:



β = 67.4°