Answer:
y - 1 = -3(x - 2)
Step-by-step explanation:
As we move from the point (2, 1) to the point (5, -8), x (the run) increases by 3 and y (the rise) decreases by 9. Thus, the slope of this line is
m = rise / run = -9/3, or m = -3.
Then the equation of the line (in point-slope form) is
y - 1 = -3(x - 2)
Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
- If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)
- If f(x) translated vertically k units, then its image h(x) = f(x) + k
Let us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
- a translation of 5 units up
- a vertical stretch with a scale factor of 2
Answer:
Step-by-step explanation:
Given
Required
Select true inequalities
Subtract 2.1 from both sides
This is true
Open brackets
Subtract 4 from both sides
This is also true
Kim did. Make the fractions into decimals(4 divided by 5, 6 divided by 10) Kim got 0.8, while Grace got 0.6.
