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2.1. What is the name of the graph f(x)? Assuming f(x) refers to the quadratic function f(x) = -2x2 + 8 from the previous problem.

Mathematics

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Graph of f(x) = −2x² + 8

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Key points of f(x) = −2x² + 8
Pointxy
x-intercept−20
Maximum08
x-intercept20

Here are the solutions to the questions:

QUESTION 1

1.2.1. What is the name of the graph f(x)?
Assuming f(x)f(x) refers to the quadratic function f(x)=−2x2+8f(x) = -2x^2 + 8 from the previous problem.
The graph of a quadratic function is a parabola.

1.2.2. Determine the equation of the graph f(x).
Assuming f(x)f(x) refers to the quadratic function from the previous problem.
The equation of the graph is f(x)=−2x2+8\boxed{f(x) = -2x^2 + 8}.

1.2.3. Is the graph f(x) a function or a relation?

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