Transformation of Quadratic & Sq Root Functions

What is the equation of the parent square root function?

• y = x^3

• y = √x

• y = x^2

• y = x^0.5

Tags

CCSS.HSF.BF.B.3

What is the vertex form of a quadratic function?

• y = ax^2 + bx + c

• y = a(x+h)^2 + k

• y = a(x-h)^2 - k

• y = a(x-h)^2 + k

What is the effect of a negative constant 'a' in the equation y = a√x?

• Stretching along the y-axis.

• Translation to the right.

• Reflection across the y-axis.

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

What is the effect of a positive constant 'a' in the equation y = ax^2?

• The positive constant 'a' determines the stretch or compression of the parabola.

• The positive constant 'a' determines the y-intercept of the parabola.

• The positive constant 'a' determines the slope of the parabola.

• The positive constant 'a' determines the shift of the parabola.

What is the effect of a negative constant 'a' in the equation y = ax^2?

• The parabola opens upwards and the graph is concave up.

• The parabola becomes a straight line.

• The parabola becomes a circle.

• The parabola opens downwards and the graph is concave down.

What is the equation of the square root function after a horizontal translation of 3 units to the right?

• y = √(x - 6)

• y = √(x + 6)

• y = √(x + 3)

• y = √(x - 3)

Tags

CCSS.HSF-IF.C.7B

What is the equation of the square root function after a vertical stretch by a factor of 2?

• y = √(2x)

• y = √(x/2)

• y = √(x^2)

• y = 2√x

Tags

CCSS.HSF.BF.B.3

What is the equation of the square root function after a vertical translation of 2 units upwards?

• y = √x + 2

• y = √(x + 2)

• y = √x - 2

• y = √(x - 2)

Tags

CCSS.HSF.BF.B.3

What is the equation of the square root function after a horizontal shift to the right by 2 units?

• y = √(x-2)

• y = √(x+2)

• y = √(x^2-2)

• y = 2√(x-2)

Tags

CCSS.HSF.BF.B.3