Graphing Quadratics Transformation

What are the green dots called? (Choose ALL that apply.)

• solutions

• axis of symmetry

• zeroes

• roots

• y-intercepts

Tags

CCSS.HSF-IF.C.7A

What are the transformations?y=(x-2)²+4 (Choose ALL that apply.)

• Horz shift right 2

• Horz shift left 2

• Vert shift up 4

• Vert shift down 4

• the vertex for g(x) is (0, -5)

• the axis of symmetry for g(x) is x = -5

• one solution of g(x) is (-5, 0)

• g(x) will now have a maximum value

The parent function, f(x) = x² can be seen above. If a transformation of the parent function can be expressed as g(x) = f(x- 4), what would be the x-intercept of g(x)?

• (-4, 0)

• (0, -4)

• (0, 4)

• (4, 0)

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

The equation y = x² + 3x - 18 is graphed.  Based on this graph, what are the roots (x-intercepts) of the equation x² + 3x - 18 = 0?

• -3 and 6

• 0 and -18

• 3 and -6

• 3 and -18

Identify the y-intercept

• (0, -3)

• (0, 1)

• (0, 3)

• (2, 1)

Tags

CCSS.HSF-IF.C.7A

A parabola has the same vertex as the parabola f(x) = 2(x -3)² +4, and a y-intercept of 0. What is the equation of this parabola?

How many solutions (roots) does this graph have?

• one

• two

• no solutions

• cannot be determined

Which of the statements about the graph is FALSE?

• The vertex is a maximum

• There are two zeros at x = -3 and x = 3

• The y-intercept is (0, 18)

• The range is y ≥ 18

Tags

CCSS.HSF-IF.C.7A