Quadratic Transformations Attributes

• Reflection over x-axis

• None of these

The graph of quadratic function k is shown on the grid. Which statements are best supported by the graph of k?

• I and II only

• I and III only

• II and III only

• I, II, and III

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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Tags

CCSS.HSF-IF.C.7A

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

Answer explanation

Remember if "a" is greater than or equal to 1, it will stretch

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

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Click on the vertex of the parabola.

What direction is the following equation opening?
y=-3x²-7x+8

• Up

• Down

• Left

• Right

Tags

CCSS.HSF-IF.C.7A