A quadratic function is of the form [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex], where a, b, and c are real numbers with [tex]\mathbf{a \ne 0}[/tex].
The true statements are:
- (b) Quadratic functions have a domain of all real numbers
- (d) Quadratic functions have mirror images
Using the above form of a quadratic function, the function does not have an "" in the equation.
This means that: (a) is false
The domain of a quadratic function is all real numbers, because all x values have a corresponding y-value.
This means that: (b) is true
Quadratic functions can face up or down directions.
This means that: (c) is false
When a quadratic function is reflected, the image of the function is a mirror of the original function.
This means that: (d) is true
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