All categories

2 years ago

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics

2 answers:

madam [21]2 years ago

7 0

Answer: The answer is (C) $y=(x-2)^2.$

Step-by-step explanation: We are given two graphs of functions F(x) and G(x) having same shape. The graph of F(x) passes through the origin and is defined by

$F(x)=x^2.$

We are to find the equation of the graph of G(x).

Since the graph of G(x) is shifted right 2 units from the graph of F(x), so x will be replaced by (x - 2).

Therefore, the equation of the function G(x) becomes

$G(x)=(x-2)^2.$ .

Thus, (C) is the correct option.

11111nata11111 [884]2 years ago

5 0

g(x) = (x-2)^2

when we shift left or right we replace the x with our new x including the shift

(x-2) will shift it right units

(x+2) will shift it left 2 units

Choice C

You might be interested in

Evaluate f(2) for the function f(x) = 3x² + 2x - 5.

Softa [21]

Answer:

f(2)= 11

Step-by-step explanation:

you have to substitute 2 for every x you see:

f(x) = 3x² + 2x - 5

f(2)= 3(2)^2+2(2)-5

f(2)= 11

6 0

3 years ago

Awser 14 for me please

never [62]

A sorry I can't see the image

6 0

3 years ago

Verify identity: <br><br> (sec(x)-csc(x))/(sec(x)+csc(x))=(tan(x)-1)/(tan(x)+1)

Nikitich [7]

So hmmm let's do the left-hand-side first

$\bf \cfrac{sec(x)-csc(x)}{sec(x)+csc(x)}\implies \cfrac{\frac{1}{cos(x)}-\frac{1}{sin(x)}}{\frac{1}{cos(x)}+\frac{1}{sin(x)}}\implies 
\cfrac{\frac{sin(x)-cos(x)}{cos(x)sin(x)}}{\frac{sin(x)+cos(x)}{cos(x)sin(x)}}
\\\\\\
\cfrac{sin(x)-cos(x)}{cos(x)sin(x)}\cdot \cfrac{cos(x)sin(x)}{sin(x)+cos(x)}\implies \boxed{\cfrac{sin(x)-cos(x)}{sin(x)+cos(x)}}$

now, let's do the right-hand-side then

$\bf \cfrac{tan(x)-1}{tan(x)+1}\implies \cfrac{\frac{sin(x)}{cos(x)}-1}{\frac{sin(x)}{cos(x)}+1}\implies \cfrac{\frac{sin(x)-cos(x)}{cos(x)}}{\frac{sin(x)+cos(x)}{cos(x)}}
\\\\\\
\cfrac{sin(x)-cos(x)}{cos(x)}\cdot \cfrac{cos(x)}{sin(x)+cos(x)}\implies \boxed{\cfrac{sin(x)-cos(x)}{sin(x)+cos(x)}}$

7 0

2 years ago

Please help? <br> What is m V?<br> Round only your final answer to the nearest tenth.

Nikolay [14]

I want to say the third option but dont trust my opinion

5 0

2 years ago

Read 2 more answers

Evaluate the function y= -3 (1/4) for x =-3 on top of the 1/4 is where the x goes. so it is 1/4 x

earnstyle [38]

$\text{Consider the function}\\
\\
y=-3\left ( \frac{1}{4} \right )^x\\
\\
\text{now to evaluate the value of the function at }x=-3, \text{ we substitute}\\
x=-3 \text{ in the given function and solve further for y.}\\
\\
\text{so we get}\\
\\
y=-3\left ( \frac{1}{4} \right )^{-3}\\
\\
\text{now using the exponent property, }\left ( \frac{1}{a} \right )^{-m}=(a)^m, \text{ we get}\\
\\
y=-3(4)^{3}\\
\\
\Rightarrow y=-3(64)\\
\\
\Rightarrow y=-192$

so the value of the function at x=-3 is -192

7 0

2 years ago