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:
An improper fraction
Step-by-step explanation:
15/10 is 1 and 1/2, but it's a bigger number over a smaller number.
Answer:
12 quarters 23 dimes
Step-by-step explanation:
x(0.25)+(2x-1)(0.10)=5.30
0.25x+0.2x-0.10=5.30
0.45x=5.40
x=12
12 quarters
12(2)=24-1=23 dimes
Answer:
12%
Step-by-step explanation:
let x represent the actual number of members last year.
current members = 675 and with an increment of 13% over previous year
to find the increment
(675 - x) / x = 0.13
675 - x = 0.13x
collect the like terms
675 = 0.13x + x
675 = 1.13 x
x = approx 597 members were there last year
its hope to increase by the same number next year
percent increase = 675 - 597 / 675 = 78 / 675 = 0.12 = 12%
42 less than (-42) the product of (multiply) 28 (28) and an unknown number (x) is (=) 154
28 times x-24=154
pemdas
multiplication
28 times x=28x
28x-42=154
add 42 to both sides
28x+42-42=154+42
28x=196
divide both sides by 28
x=7
the number is 7
