Practice Finding Quadratic Equations

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Date: ____________________
Name: _______________________
Practice Finding Quadratic Equations
1.
State the family of quadratics in vertex form if the
6.
State the family of quadratics in standard form, given that
parabola is vertically compressed by a factor of 3, shifted
the parabola has zeros at 6 − 12, and 6 + 12
right 5 units, down 1 unit.
2.
State the family of quadratics in vertex form given that the
= −8
quadratic opens up, has an axis of symmetry of
and shifted down by 5 units.
3.
State the equation in vertex form given that the quadratic
has a MAXIMUM of y = -4, is shifted to the left by 6 units
and is horizontally stretched by factor of 2
7.
State the equation in standard form, given that the
parabola has zeros at 1 − 5, and 1 + 5 and goes
through the point (4, -28)
4.
State the equation in factored form, given that the
parabola has zeros at -3, and 4 and a y-intercept of 2
5.
State the equation in vertex form given the parabola has
a vertex of (-5, -7) and that the graph goes through the
point (-1, 11)
8.
State the equation in vertex form given the parabola has
x-intercepts of -2 and 4 and an optimal value of 2.
1

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