Given the graph of y=f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of y=f(x−4)+3.
2 answers:
Answer:
See graph in attachment.
Step-by-step explanation:
The graph of is a parabola that has its vertex at the origin.
The equation of the transformed graph is
The vertex of this transformed function is
Drag the blue graph up so that the vertex will now be at (4,3).
See graph in attachment.
The graph of the function f(x),which is in the shape of parabola has vertex at (0,0).
→y=x²
f(x)=x²
Now, the graph of f(x) is translated by 2 units in horizontally right Direction.
→ y=(x-2)²
f(x-2)=(x-2)²
Now, we have to obtain the graph of the function
→y=f(x-4)+3
y=(x-4)²+3
The function , f(x-2) is shifted , 2 unit right in Horizontal right direction and, 3 unit up in vertically Upward direction.
You might be interested in
Rileyflipflop, 
= 8 
, since she can't buy half a CD, she's limited to no more than 8 CDs. If x = the cost of one CD, then x CDs cost $18x. Since we are limited to $153, our equation looks like... 18x < 153x < 8 Again, since we can't buy half a CD, your answer should actually be... x ≤ 8 since we can buy 8 CDs or fewer.
After 85 minutes of calls, there are $27.25 left on the card.
<h3>What is the remaining credit after 85 minutes of calls?</h3>
A linear equation in slope-intercept form is:
y = a*x + b
Where a is the slope.
If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:
In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)
(points of the form (time, dollars)).
So the slope is:
The linear equation is then:
y = -0.15*x + b
To find the value of b, we use the point (22. 36.7)
36.7 = -0.15*22 + b
36.7 + 0.15*22 = b = 40
Then the linear equation is:
y = -0.15*x +40
The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.
y = -0.15*85 + 40 = 27.25
This means that after 85 minutes of calls, there are $27.25 left on the card.
If you want to learn more about linear equations:
#SPJ1