Answer:
Step-by-step explanation:
The graph you see there is called a parabola. The general equation for the graph is as below
To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.
To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!
Awesome, we've found both values. And we can write the result.
I'll include a plotted graph with our equation just so you can verify it is indeed the same.
The function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x
<h3>Translation of functions</h3>
Translation is a technique used to change the position of an image on an xy-plane. Given the function below;
f(x) = x +2
If the expression is translation 2 units to the right, the translation rule will be:
g(x) = f(x )- 2
Substitute
g(x) = x + 2 - 2
g(x) = x
Hence the function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x
Learn more on translation here: brainly.com/question/12861087
#SPJ1
Yea, it’s 180cm^3
V=bh
V= 20cm • 9cm
V=180cm^3
Have a good day :)
<u>Answer:</u>
If x-2 is a factor of p(x) = x^{4} - 3 x^{2} + 2 x - 8 ,then p(x) = 0
<u>Solution:</u>
According to factor theorem of polynomials,
x-a is a factor of polynomial p(x), if and only p(a)=0
<u>Step 1:</u>
Since x-2 is factor of p(x),
x - 2 = 0
x = 2
<u>Step 2:</u>
By substituting x = 2 in equation 1,
p(x) = 16 - 3(4 ) + 4 -8
p(x) = 16 - 12 - 4
p(x) = 16 - 16
p(x) = 0
Since x - 2 is a factor of p(x) , we get p(x)=0
