Quadratic in Vertex Form

Which equation matches the graph?

• y = (x + 1)² + 3

• y = -1(x + 1)² + 3

• y = -1(x - 1)² +3

• y = (x - 1)² - 3

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• Compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

• Stretched by 1/2, shifted 4 units right and 1 unit down

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 function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

Given y = (x + 3)² , how did we transform from the parent function?

• Horizontal shift left 3

• Vertical shift up 3

• Horizontal shift right 3

• Vertical shift down 3

Given y = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• y= 5(x - 2)²

• y = 5(x + 2)²

• y = (x - 2)² - 5

• y = (x + 2)² + 5

Which function has a translation of 7 units down and reflects over the x-axis?

• y = -(x - 7)² + 1

• y = (x + 7)² + 1

• y = -(x - 1)² - 7

• y = (x + 1)² - 7

Choose the function that matches this description:
A parabola translated 7 units up and 5 units to the left