parent functions and transformations homework

1-5 Parent Functions and Transformations

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1-5 Assignment – Parent Functions and Transformations 1-5 Bell Work – Parent Functions and Transformations 1-5 Exit Quiz – Parent Functions and Transformations 1-5 Guided Notes SE – Parent Functions and Transformations 1-5 Guided Notes TE – Parent Functions and Transformations 1-5 Lesson Plan – Parent Functions and Transformations 1-5 Online Activities – Parent Functions and Transformations 1-5 Slide Show – Parent Functions and Transformations

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Exponential Functions – One Grain of Rice

Rational functions – nctm activity, continuity, end behavior, and limits – if this then that.

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Unit 3: Parent Functions and Transformat...

9th - 11th grade, mathematics.

Unit 3: Parent Functions and Transformations

44 questions

Introducing new   Paper mode

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What is the RANGE of the function?

All real numbers

Match the graph with the correct equation.

Describe the transformation that occurred

m(x) = f(x + 1)

Left 1 Unit

Right 1 unit

vertical stretch

h(x) = 1/5f(x)

vertical compression

Down 5 Units

• 14. Multiple Choice Edit 3 minutes 1 pt Find the vertex of  f(x) = -x 2  - 4x + 12. (-2, 16) (2, 0) (2, 4) (-2, 4)

Find the y-intercept y = x 2 - 6x + 5

What is the function that matches the graph?

f ( x ) = x 2 − 2 x + 5 f\left(x\right)=x^2-2x+5 f ( x ) = x 2 − 2 x + 5

f ( x ) = − 2 x 2 + 2 x − 5 f\left(x\right)=-2x^2+2x-5 f ( x ) = − 2 x 2 + 2 x − 5

f ( x ) = − 2 x 2 − 2 x + 5 f\left(x\right)=-2x^2-2x+5 f ( x ) = − 2 x 2 − 2 x + 5

Convert to vertex form.

y = − ( x − 5 ) 2 + 21 y=-\left(x-5\right)^2+21 y = − ( x − 5 ) 2 + 2 1

y = − ( x + 5 ) 2 + 21 y=-(x+5)^2+21 y = − ( x + 5 ) 2 + 2 1

y = − ( x + 10 ) 2 + 21 y=-(x+10)^2+21 y = − ( x + 1 0 ) 2 + 2 1

y = − ( x − 10 ) 2 + 21 y=-(x-10)^2+21 y = − ( x − 1 0 ) 2 + 2 1

  y = 4 ( x + 2 ) 2 − 8 y=4(x+2)^2-8 y = 4 ( x + 2 ) 2 − 8   Convert the equation from vertex form to standard form. 

  y = 4 x 2 + 16 x + 8 y=4x^2+16x+8 y = 4 x 2 + 1 6 x + 8    

  y = 4 x 2 + 16 x + 16 y=4x^2+16x+16 y = 4 x 2 + 1 6 x + 1 6    

  y = 16 x 2 + 64 x − 8 y=16x^2+64x-8 y = 1 6 x 2 + 6 4 x − 8    

  y = 16 x 2 + 256 x + 8 y=16x^2+256x+8 y = 1 6 x 2 + 2 5 6 x + 8    

• 22. Multiple Choice Edit 1 minute 1 pt Which answer choice describes  y = -3x 2 +7x - 2 accurately? opens up with a maximum opens up with a minimum opens down with a maximum opens down with a minimum 
• 23. Multiple Choice Edit 45 seconds 1 pt Does the equation open up or down?  Y = -3x 2 +7x - 2 up down Neither; it opens to the right. Neither; it opens to the left.

  y = − 2 3 ( x − 9 ) 2 − 2 y=-\frac{2}{3}(x-9)^2-2 y = − 3 2 ​ ( x − 9 ) 2 − 2     Convert the equation from vertex form to standard form

  y = − 2 3 x 2 − 12 x − 52 y=-\frac{2}{3}x^2-12x-52 y = − 3 2 ​ x 2 − 1 2 x − 5 2    

  y = − 2 3 x 2 + 12 x − 56 y=-\frac{2}{3}x^2+12x-56 y = − 3 2 ​ x 2 + 1 2 x − 5 6    

  y = − 2 3 x 2 + 18 x − 56 y=-\frac{2}{3}x^2+18x-56 y = − 3 2 ​ x 2 + 1 8 x − 5 6    

  y = − 2 3 x 2 − 18 x + 52 y=-\frac{2}{3}x^2-18x+52 y = − 3 2 ​ x 2 − 1 8 x + 5 2    

• 26. Multiple Choice Edit 2 minutes 1 pt Determine the vertex of the parabola: y = 5x 2  - 20x + 13 (5, -7) (-2, -7) (2, -7) (-7, -2)
• 28. Multiple Choice Edit 30 seconds 1 pt Given: y = 2(x - 5) + 6, the vertex is (2, -5) (-5, 6) (2, 6) (5, 6)

Find the y-intercept of the function

y = -3(x + 2) 2 - 5

• 31. Multiple Choice Edit 3 minutes 1 pt Convert the equation y= x 2 +4x into vertex form.  y= (x+4) 2 -4 y= (x-2) 2 +4 y= (x+2) 2 -4 y= (x+2) 2
• 32. Multiple Choice Edit 15 minutes 1 pt Does the graph of -2(x + 5) + 2 have a minimum or a maximum? Minimum Maximum It has neither. It has both.

Which quadratic function is represented by the graph?

y = (x - 2) 2 + 2

y = (x + 2) 2 + 2

y = (x - 2) 2 - 2

y = -(x - 2) 2 + 2

What piece of information does c identify in the following equation?

y = ax 2 + bx + c

Axis of Symmetry

y-intercept

Using the pictured graph, what is f(2)?

• 39. Multiple Choice Edit 5 minutes 1 pt Is (2, 3) part of the solution set?  y < 2x 2  -3x+1 Yes No

Which inequality is represented by the graph?

y ≥ -(x + 4)² + 1

y < -(x - 4)² + 1

y ≤ (x - 4)² + 1

y ≤ -(x - 4)² + 1

What is the correct equation for this graph?

y ≤ 2|x-1| - 1

y ≤ 1/2|x-1| + 4

y ≥ -2|x+1| - 2

y ≥ -2|x-1| + 1

Which of the following equations is NOT a quadratic function?

What are the x-intercepts of this function?

(1,0) and (5, 0)

(0, 3) and (0, -5)

(1, 5) and (5, 1)

(0, 1) and (0, 5)

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