Equation of Horizontal and Vertical Parabolas

What direction does the parabola open?

• Up

• Down

• Left

• Right

Which conic is given by the equation? (x-4)² = 8(y - 3)

• Hyperbola

• Ellipse

• Circle

• Parabola

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

Which best describes how to transform the red graph, h(x), to the blue graph?

• h(x - 7)

• h(x + 7)

• h(x) + 7

• h(x) - 7

Given a parabola with a vertex at (4,3) and a directrix of y=1, write the equation of the parabola.

Mathematical Equivalence

ON

Given a parabola with a vertex of (4,0) and a focus of (4,-1) write the equation of the parabola.

Mathematical Equivalence

ON

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

Write the equation of the BLUE graph

• g(x) = f(x) + 2

• g(x) = f(x) - 2

• g(x) = f(x + 2)

• g(x) = f(x - 2)

Write the equation of the BLUE graph

• g(x) = f(x) + 7

• g(x) = f(x) - 7

• g(x) = f(x + 7)

• g(x) = f(x - 7)

What shape is the graph of a quadratic?

• Hyperbola

• Parabola

• Straight Line

• Circle

Tags

CCSS.7.G.A.3