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2 years ago

Which must be true of a quadratic function whose vertex is the same as its y-intercept?

Mathematics

1 answer:

BaLLatris [955]2 years ago

7 0

Answer: Choice A

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

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Explanation:

The vertex is on the axis of symmetry. Since the vertex is on the y axis, this means the y axis itself is the axis of symmetry. The y axis is represented by the equation x = 0. Every point on the y axis has an x coordinate of 0. Example points are (0,2) and (0,5).

This parabola may have 0 roots, 1 root, or 2 roots.

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3 years ago

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$\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx$
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$\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2$

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where we omitted the negative root because it's given that $y>0$ .

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3 years ago