Shifting the Vertex of Quadratics

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

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

Write a quadratic function in vertex form with vertex (-4, 6) that opens up

• f(x) = -2(x - 4)² + 6

• f(x) = (x + 4)² + 6

• f(x) = -2(x + 4)^{2 + 6}

• f(x) = (x - 4)² + 6

The function f(x) = -3(x + 2)² - 1 opens what direction?

• Up

• Down

Write a quadratic function in standard form whose vertex is at the point (-1, 1) that opens down.

• f(x) = -2(x + 1)² + 1

• f(x) = -2(x - 1)² + 1

• f(x) = -2(x + 1)² - 1

• f(x) = 2(x - 1)² + 1

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

In y=a(x-h)²+k, what effects does "k" have on the parent function?

• Vertical stretch/compression

• Horizontal shifts (left/right)

• Vertical shifts (up/down)

What would the equation for the new quadratic function be if it was horizontally shifted right 1 unit  from the function f(x)=x²+4?

• g(x)=x²+5

• g(x)=(x+1)²+4

• g(x)=(x-1)²+4

• g(x)=x²+3

What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then horizontally shifting left 3 units?

• f(x)= 2(x-3)²

• f(x)= 2(x+3)²

• f(x)= 2x²+3

• f(x)= (x-2)²+3

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17

• f(x)= -(x-17)²

• f(x)= -(x+17)²

• f(x)= -x²+17

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