The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
<h3>How to compare the function to its parent function?</h3>
The equation of the transformed function is given as:
y = -(x - 2)^2 - 3
While the equation of the parent function is given as
y = x^2
Start by translating the parent function to the right by 2 units.
This is represented as:
(x, y) = (x - 2, y)
So, we have:
y = (x - 2)^2
Next, reflect the above function across the y-axis
This is represented as:
(x, y) = (-x, y)
So, we have:
y = -(x - 2)^2
Lastly, translate the above function 3 units down
This is represented as:
(x, y) = (x, y - 3)
So, we have:
y = -(x - 2)^2 - 3
Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
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Answer:
a
Step-by-step explanation:
there is an unknown thingy which is x
Answer:
Step-by-step explanation:
The given quadratic equation is :
One of the roots of this equation is twice that of the other. Let the roots are 
, 
Sum of roots, 
Product of roots,
If 
,
So, the value of k is equal to 
.
Answer: 8) 42°, 65°, 115° 9) 1.5, 2
Step-by-step explanation:
8) Right off the bat I know that the measure adjacent to 157° is
23°. With both numbers inside the triangle combined, we get
65° meaning the last number is 115 because that'll add up to 180°
9) Considering the smaller triangle has half the length of the bigger triangle
The length of the rest are half the size too.
EF = 1.5
DF = 2
The small sign's perimeter is 36 inches
Step-by-step explanation:
The scale factor between two figures is obtained by:
So,
We know that
Putting the values in the above equation of scale factor we get
Cross multiplication
Dividing both sides by 5
Hence,
The small sign's perimeter is 36 inches
Keywords: Scale factor, Ratio
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