Question

which must be true of a quadratic function whose vertex is the same as its y-intercept? the axis of symmetry for the function is x = 0. the axis of symmetry for the function is y = 0. the function has no x-intercepts. the function has 1 x-intercept.

Answer 1

Answer:

a. The axis of symmetry for the function is x = 0.

Step-by-step explanation:

edge 2020

Answer 2

If quadratic function $y=ax^2+bx+c$ has vertex that is the same as its y-intercept, then

$x_v=-\dfrac{b}{2a}=0,\\ \\b=0$

and its equation is $y=ax^2+c.$

The graph of this quadratic function is translated graph of the function $y=ax^2$ up or down (depends on c).

This means  that there could be

• two x-intercepts;
• one x-intercept;
• no x-intercepts.

The axis of symmetry of the graph of the function $y=ax^2$ is x=0 (y-axis).

Answer: correct choice is A