Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = 5(x + 4)2 + 6?
1 answer:
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Answer:
1.
2.
Step-by-step explanation:
Given
Variation: inverse Proportion
y = 7, x = 9
Required
- Write an equation connecting y and x
- Find y when x = 21
Given that thee variation is inversely proportional;
This implies that
Convert variation to equation
----------- Equation 1
Where k is the constant of variation
Substitute 7 for y and 9 for x in equation 1
Multiply both sides by 9
Substitute 63 for k in equation 1
Multiply both sides by x
Hence, the equation connecting x and y is
Solving for when x = 21
Substitute 21 for x in the above equation
Divide both sides by 21
To find graph this, you need to understand the equation.
The formula is y=mx+b, m being slope and b being y-intercept.
We start out graphing by finding where the y-intercept is--and we see that our intercept is 2. Place a point on (0, 2).
Now, we need to add our slope. Start at (0, 2) and go up 4 units. Next go to the LEFT (we have a negative slope, remember?). Continue this pattern.
It should look like this once it's done:
