Equation from Parabola

What steps transform the graph y = x² to y = (x - 4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Which transformation maps the graph of f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the x-axis

• 4 units up

• 4 units to the left

• 4 units to the right

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

• y² = 24(x+4)

• (y+4)² = -12x

• x² = 16(y+4)

• (x+4)²  = -20y

Given the graph below, what is the equation of the parabola?

What is the standard equation of a parabola with Vertex (4,3) and the focus is 2 units above the vertex?

What is the standard form of the equation of the parabola with Focus: (0, 7) and the vertex at the origin?

What is the standard equation of a parabola with Vertex (-2, 1) and the directrix is 4 units below the vertex?

What is the standard equation of a parabola with Focus (1,3) and the directrix is 6 units to the left of the focus?

Tags

CCSS.HSG.GPE.A.2

What is the standard equation of a parabola with Focus (2,5) and the directrix is 6 units to the right of the focus?

Tags

CCSS.HSG.GPE.A.2

Given the graph below, what is the equation of the parabola?