Master Graphing Quadratics in Vertex Form

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5 Questions

Which direction does a parabola open if the value of 'a' in the vertex form equation $y=a(x-h)²+k$ is positive?

Upward

What is the vertex of the parabola described by the equation $y=-10(x+4)²-3$?

(-4, -3)

What is the maximum or minimum point of a parabola if 'a' in the vertex form equation $y=a(x-h)²+k$ is negative?

Maximum point

If |a| > 1 in the vertex form equation $y=a(x-h)²+k$, how does the shape of the parabola compare to the graph of $y=x²$?

The parabola is 'skinny'

If |a| < 1 in the vertex form equation $y=a(x-h)²+k$, how does the shape of the parabola compare to the graph of $y=x²$?

The parabola is 'fat'

Test your knowledge of graphing quadratics in vertex form with this algebra quiz. Learn about the role of a, the vertical shift, and (x-h)², the horizontal shift. Explore how a positive value affects the shape of the parabola.

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