The parent function is:
y = x²
This is a quadratic function
The child functions are:
y = x - 4² whcih can be written as
y = x - 16
The second child function is
y = x + 3
The two child functions are linear functions while the parent function is a quadratic function.
The parent and child functions also differ in their ranges and domains
For y = x²
Domain = ( -∞ , ∞ )
Range = [0 , ∞ )
For y = x - 4² and y = x + 3:
Domain = ( -∞ , ∞ )
Range = (-∞ , ∞ )
The difference between y = x - 4² and y = x + 3 is their intercepts on the y axis .
For y = x - 4², the y - intercept is -16
For y = x + 3, the y - intercept 3
This change is due to transformation (basically translation) on the x and y axes
Answer:
Option (3)
Step-by-step explanation:
Since domain of a function graphed is defined by the x-values and range by y-values.
When a function is reflected across x-axis rule to be followed,
(x, y) → (x, -y)
That means y-coordinates of all the ordered pairs given on the graph will get changed after the reflection across x-axis.
But x-values will remain same.
Therefore, domain of the function will stay the same and range will change.
Option (3) will be the answer.
Use the distance formula to determine the distance between two points.
<span><span>
√13</span>≈<span>3.60555127</span></span>
The equation that represents the amount earned is y = 12 + 2.5x
<h3>How to determine the equation?</h3>
The given parameters are:
- Chargers per day = $12
- Charges per walk = $2.5 per walk
Let the number of walks be x and the total charges per day be y.
So, we have:
y = 12 + 2.5x
Hence, the equation that represents the amount earned is y = 12 + 2.5x
See attachment for the graph
Read more about linear equations at:
brainly.com/question/13763238
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Answer:
a^3b^4
Step-by-step explanation:
You have 3 a's, so that would be
and you have 4 b's so that would be
so putting it together gives you
