Transformation of Quadratic & Sq Root Functions

Transformation of Quadratic & Sq Root Functions

9th - 12th Grade

9 Qs

quiz-placeholder

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Transformation of Quadratic & Sq Root Functions

Transformation of Quadratic & Sq Root Functions

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSF.BF.B.3, HSF-IF.C.7B

Standards-aligned

Created by

Malik Richardson

Used 2+ times

FREE Resource

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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