Free Printable Transforming Quads

1.

Draw and write the equation of a new parabola from the parent function y = $x^2$ , when the following conditions are executed. 1. Moved up 2 units.

a)

$y = x^2 + 2$

b)

$y = x^2 - 2$

c)

$y = (x + 2)^2$

d)

$y = (x - 2)^2$

2.

Draw and write the equation of a new parabola from the parent function y = $x^2$ , when the following conditions are executed. 2. Moved down 2 units, Moved to the right 5 units.

a)

$y=(x-5)^2-2$

b)

y = $(x + 5)^2 + 2$

c)

$y=(x-5)^2+2$

d)

$y = (x + 5)^2 - 2$

3.

What is the vertex of the quadratic equation y = $(x - 2)^2 + 3$ ?

a)

(2, 3)

b)

(0, 0)

c)

(-2, 3)

d)

(2, -3)

4.

Write the parent quadratic equation.

a)

$y = x^2$

b)

$y = x^3$

c)

$y = 2x^2$

d)

y = x + 2

5.

5. Moved down units, to the right 4 units, reflected over x-axis.

a)

Vertex: $(4, 0)$ , Axis of Symmetry: x = $4$ , Minimum or Maximum: Maximum, Solution (x-intercept): x = $4$ , Equation: y = $-(x-4)^2$

b)

Vertex: (0, 4), Axis of Symmetry: x = 0, Minimum or Maximum: Minimum, Solution (x-intercept): x = 0, Equation: $y = (x-4)^2$

c)

Vertex: $(-4, 0)$ , Axis of Symmetry: $x = -4$ , Minimum or Maximum: Maximum, Solution (x-intercept): $x = -4$ , Equation: $y = -(x+4)^2$

d)

Vertex: $(4, -5)$ , Axis of Symmetry: $x = 4$ , Minimum or Maximum: Minimum, Solution (x-intercept): $x = 4$ , Equation: $y = (x-4)^2$

Transforming Quads

Total questions: 5

Worksheet time: 3mins

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