Equation of a Parabola

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

Explain the transformation of

y=(x+3)² - 1

• right 3 , down 1

• Left 3, down 1

• left 1, Down 3

• Right 1, UP 3

Explain the transformation

y= 4 ( x+ 5) ² +3

• Wider, right 5, up 3

• Thinner, left 5, up 3

• thinner, right 5 up 3

• wider, left 5, up 3

Explain the transformation

y= 1/2 ( x-4) ² +1

• thinner, right 4, up 1

• wider, left 4, up 1

• wider, right 4, down 1

• wider, right 4, up 1

What is the only transformation of this equation

y= - x²

• up 1

• down 1

• reflected ( flipped)

• wider ( shrink)

If a fraction is in front of the X value how does it change the parabola ?

y= 1/2 x²

• thinner ( stretched)

• wider ( shrink)

• flipped ( reflected)

• moves opposite direction

Determine the vertex of the parabola:

y = 5x² - 20x + 13

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

What is the domain of all quadratic functions

• x ≥ 0

• x ≤ 0

• All real numbers