Graphing Parabolas

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

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• y intercept

Tags

CCSS.HSF-IF.C.7A

Determine the vertex of the parabola y=5(x-2)²–7

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4

• y = (x+3)² - 4

• y = (x-3)² + 4

• y = 2(x - 3)² + 4

Where is the axis of symmetry for this parabola?

• x = −1
• x = 0
• y = 3
• x = −3

Name the y-intercept.

• (-4,4)
• (0,4)
• (-2,0)
• (0,0)

Tags

CCSS.HSF-IF.C.7A

What is the equation for the AXIS OF SYMMETRY from the standard form of a quadratic? (also the x-value of the vertex)

• $x=\frac{-b}{2a}$

• $x=-2ab$

• $x=\frac{-a}{2b}$

• $x=\frac{-2}{ab}$

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

Which of the following functions graphs the parabola shown?

• y = x² - 4x + 1

• y = -2x² - 8x - 3

• y = x² - 4x + 5

• y = 2x² + 6x + 1

Tags

CCSS.HSF-IF.C.7A

In which direction does the parabola open for the following equation  $y\ =\ -x^{2\ }+\ 2x\ +\ 1$  

• Up

• Down

• Left

• Right

Tags

CCSS.HSF-IF.C.7A