Which of the following are characteristics of the graph of the quadratic parent function?
2 answers:
Answer:
The correct options are A, C and D.
Step-by-step explanation:
The quadratic parent function is
The properties of quadratic parent function are:
1. It has one intercept, i.e, x- and y-intercept are at origin.
2. It has a vertex at (0, 0).
3. It is U-shaped.
4. Each image y has two preimage, except 0.
5. It opens up.
From the given option one the option B is incorrect because the quadratic parent function opens upward.
Therefore the correct options are A, C and D.
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Answer:
Range is : { -10, -7, -5, -2 }
Step-by-step explanation:
Given:
The function is given as:
The domain of the function = { -3, 0, 2, 5 }
A function's input is called its domain and a function's output is called its range.
The range depends on the domain values. So, the values of 'y' are the values of range and the values of 'x' are the values of domain.
Here, the domain is given as:
Domain = { -3, 0, 2, 5 }
We need to find the values of 'y' for each value of 'x' taken from the domain set.
Plug in . This gives,
Plug in . This gives,
Plug in . This gives,
Plug in . This gives,
Therefore, the set of all values of 'y' is the range.
Range is equal to { -10, -7, -5, -2 }.