Quadratics & Parabolas (Standard)

Quadratics & Parabolas: core idea

• 1. Find the minimum value of $x^2-8x+11$.

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• 2. The roots of $x^2+bx+20=0$ are $-4$ and $-5$. Find $b$.

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• 3. Rewrite $x^2+6x-7$ in vertex form.

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• 4. A ball's height is $h=-5t^2+20t+3$. At what time does it reach maximum height?

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• 5. If $x^2+2x+c$ has exactly one real root, find $c$.

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• 6. Solve $2x^2-8x=10$.

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• 7. The graph of $y=x^2$ is shifted right 4 and down 7. Write its equation.

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• 8. Find the discriminant of $3x^2+2x-1=0$.

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• 9. A rectangle has length $x+3$ and width $x$. Its area is $40$. Find $x$.

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