Question

Which statement is true about the y-intercept of a quadratic function?

A.
A quadratic function can only have one y-intercept.
B.
A quadratic function can have up to two y-intercepts.
C.
The y-intercept is also called a zero of the function.
D.
The y-intercept is located at the point where the value of y is 0.
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Answer 1

A.

Explanation:

A quadratic function may only intercept the y-axis once. This is because the definition of a y-intercept tells us that it is the point where x = 0. If there are multiple points where x = 0, then the expression cannot be a function. As such, a quadratic function can only have one.

Choice B contradicts the previous statement.

Choice C is wrong because the x-intercept is the zero of the function. This is because at a given x-coordinate that touches the x-axis, the y-coordinate will be 'zero'.

Choice D is wrong because the y-intercept is where x = 0.

I hope this helps!