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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Tags

CCSS.HSF-IF.C.7A

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?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

Click on the vertex of the parabola.

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A