Which transformation from the graph of a function f(x) describes the graph of 5f(x)

Mathematics

2 answers:

borishaifa [10]3 years ago

8 0

Answer: vertical | stretch | left

Step-by-step explanation:

sattari [20]3 years ago

6 0

Answer:

Dilation

Step-by-step explanation:

Given

Main function: f(x)

Resulting function: 5f(x)

Required

Which transformation exists between both functions

The general explanation is that:

When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).

Mathematically, if the following relationship exists between f(x) and g(x)

g(x) = k.f(x)

Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio

In this case:

g(x) = 5f(x)

So, the transformation that answers the question is dilation.

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Angle x and y are complementary. Angle x is supplementary to a 128º angle.

tiny-mole [99]

Answer:

x = 52

y = 38

Step-by-step explanation:

Angle x is supplementary to a 128º angle.

Supplementary angles add to 180

x+128 = 180

Subtract 128 from each side

x+128-128 = 180-128

x =52

Angle x and y are complementary.

Complementary angles add to 90

x+y =90

52+y =90

Subtract 52 from each side

52-52 +y = 90-52

y = 38

4 0

3 years ago

Read 2 more answers

The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. Which equation models t

Elden [556K]

$\bf \textit{Logarithm Cancellation Rules}
\\\\
log_a a^x = x\qquad \qquad \boxed{a^{log_a x}=x}\\\\
-------------------------------\\\\
pH=-log(H+)\qquad \stackrel{pH}{7.2}=-log(H+)\implies -7.2=log_{10}(H+)
\\\\\\
10^{-7.2}=10^{log_{10}(H+)}\implies 10^{-7.2}=H+\implies \cfrac{1}{10^{7.2}}=H+$