F(x)=3x translation 5 units up

Mathematics

1 answer:

olga nikolaevna [1]1 year ago

4 0

The image of the function when translated up is f'(x) = 3x + 5

<h3>How to translate the function up?</h3>

The function is given as:

f(x) = 3x

The rule of the function of a translation of 5 units up is represented as;

f'(x) = f(x) + 5

So, we have:

f'(x) = 3x + 5

Hence, the image of the function when translated up is f'(x) = 3x + 5

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Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the

kvasek [131]

The axis of symmetry of a quadratic function $f(x)=ax^2+bx+c$ is given by the equation $x=h$ , where h is the x-coordinate of the vertex and is equal to $\frac{-b}{2a}$ .

1.
$f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
x=0$

2.
$g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
x=4$

3.
$h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2$

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).

7 0

3 years ago

Please help me with this

juin [17]

Answer:

10π (31.415926)

√101(10.0498756)

9.92749...

0.99853...

Step-by-step explanation:

For 10π, we can simplify π into 3.14 for an approximate amount. 3.14*10=31.4

For the square root of ten, we can estimate it's between 10 and 11 since 10 squared is 100 and 11 squared is 121.