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
105 divided by 6 equals 17. 5
She should buy 18 packages
Answer:
C & D
Step-by-step explanation:
x² + 3x - 3 = 0
a = co efficient of x² = 1
b= co efficient of x = 3
c = constant = -3
roots = (-b ± 
)/2a
= (-3±![\sqrt{3^{2}-4*1*[-3]}](https://tex.z-dn.net/?f=%5Csqrt%7B3%5E%7B2%7D-4%2A1%2A%5B-3%5D%7D)
)/2*1
= (-3±
)/2
= (-3±√21)/2
Answer:
Lcm=18
Step-by-step explanation:
First do prime factorization of 6 and 9
common factor of 6 is 3
and remaining factor is 2×3
Now,
C.F×R.F= 3×2×3
=18
Answer:
91.4 inches
Step-by-step explanation:
I will leave the explanation in the comments.
