Quadratic Functions and Transformations

What is the Vertex coordinates for the following parabola: f(x) =  2(x-3)²+4

• (2,4)
• (3,4)
• (1,4)
• (0,2)

Which of the following equations is a parabola?

• y = 2x + 4
• y = 2x³ + 4
• y = 2x² + 4
• y = 2^x

Tags

CCSS.HSF-IF.C.7A

Which is the most basic equation, or parent function, of a parabola?

• y = x²
• y = 2x² + 3
• y = -x² -4
• y = -x²

Which of the following will be a parabola that opens down?

• y = x² -1
• y = -x²
• y = -x -1
• y = 3x²

Tags

CCSS.HSF-IF.C.7A

What is the maximum point of this graph?

• (2, -1)
• (2, -3)
• (2, 1)
• (1, 2)

Tags

CCSS.HSF-IF.C.7A

What are the coordinates of the y-intercept?

• (-3, 0)
• (0, -3)
• (2, 1)
• y=-3

Tags

CCSS.HSF-IF.C.7A

What are the x-intercepts for this graph?

• 1 and 3
• 1 and -3
• 0 and -3
• 0 and 3

Tags

CCSS.HSF-IF.C.7A

Does this graph show a maximum or a minimum?

• Maximum
• Minimum

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

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex