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Ivahew [28]
3 years ago
14

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.
Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

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

Step-by-step explanation:

edge 2020

Sholpan [36]3 years ago
5 0

If <u>quadratic function </u>y=ax^2+bx+c has <u>vertex </u>that is the same as its <u>y-intercept</u>, 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

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_____

<em>Comment on estimating</em>

You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.

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