Quadratic Equations, Vertex

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

• x=4

• x=-4

• x=1/2

• x=3

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

Match each quadratic equation to its vertex

• (5, 3)

• g(x) = (x + 3)² + 5

• (-3, 5)

• y = (x + 5)² - 3

• (3, -5)

• f(x) = (x - 3)² + 5

• (3, 5)

• j(x) = (x - 5)² + 3

• (-5, -3)

• h(x) = (x - 3)² - 5

is the Vertex Form of a Quadratic Equation. Correctly label each variable listed below.

• opens up/down

• vertical stretch/compress

• horizontal shift

• vertical shift

• horizontal stretch/compress

• vertical flip

• horizontal flip

• vertical stretch

• horizontal compression

• reflection across y-axis

The vertex of the quadratic function q(x) is 18 units below the vertex w(x). Which describes graphs q and w?

• q(x) = 18x^2 and
  w(x) = x^2

• q(x) = x^2 + 18
  and 
  w(x) = x^2

• q(x) = -18x^2 and 
  w(x) = x^2

• q(x) = x^2 - 18 and 
  w(x) = x^2

Quadratic functions m and n are graphed on the same coordinate grid. The vertex of the graph of n is 15 units above the vertex of the graph of m. Which pair of functions could have been used to create the graphs of m and n?

• m(x) = x² and n(x) = x² - 15

• m(x) = x² - 15 and n(x) = x²

• m(x) = x² + 15 and n(x) = x²

• m(x) = -15x² and n(x) = x²

What is the vertex and what does it represent?

• (80, 1.5) At 80 seconds, the ball reaches a maximum height of 1.5 feet

• (0, 37) At 0 seconds, the ball was thrown from a height of 37 feet.

• (1.5, 80) At 1.5 seconds the ball reaches a maximum height of 80 feet

• opens up/down

• vertical stretch/compress

• horizontal shift

• vertical shift

• horizontal stretch/compress

• vertical flip

• horizontal flip

• vertical stretch

• horizontal compression

• reflection across y-axis

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