Quadratic Transformation and Attributes

Two characteristic of quadratic function p are given.

1. The axis of symmetry of the graph of p is x = -3.

2. Function p has exactly one zero.

Based on this information, which graph could represent p?

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Two characteristic of quadratic function p are given.

1. The axis of symmetry of the graph of p is x = 3.

2. Function p has a maximum value of 3.

Based on this information, which graph could represent p?

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The graph of quadratic function f is shown on the grid.

One of the zeros is located between what two values?

• -5 and -6

• -6 and 4

• -1 and -2

• -2 and -4

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

The graph of a quadratic function is shown.
What statement about this graph is not true?

• The graph has a y-intercept at (0, 8)

• The graph has a maximum point at (-1, 9)

• The graph has an x-intercept at (2, 0)

• The graph has the y-axis as a line of symmetry

Click on the vertex of the parabola.

What happened from the red graph to the green graph? and what would   be?

Answer explanation

Remember if "a" is less than 1 but greater than 0 it will compress

• Vertical stretch by a factor of ¼

• Vertical shrink by a factor of ¼

Define X-intercept

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis

• Where the parabola touches or intersects the y-axis

• A line that divides the graph into two equal parts. i.e. cuts the graph in half