1. What is a parabola?.

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Presentation transcript:

1. What is a parabola?

The graph of a quadratic function 1. Answer The graph of a quadratic function

2. What is a vertex?

The lowest or highest point on a parabola 2. Answer The lowest or highest point on a parabola

What is the axis of symmetry? 3. What is the axis of symmetry?

It divides the parabola into mirror images & passes through the vertex 3. Answer It divides the parabola into mirror images & passes through the vertex

4. What are x-intercepts?

Where the graph touches the x-axis 4. Answer Where the graph touches the x-axis

5. What are y-intercepts?

Where the graph touches the y-axis 5. Answer Where the graph touches the y-axis

6. What is a radical?

6. Answer The expression √x

7. What is a radicad?

The number beneath the radical sign 7. Answer The number beneath the radical sign

What is an inverse function? 8. What is an inverse function?

Interchanges the input & output values of the original function 8. Answer Interchanges the input & output values of the original function

Which direction does the graph open? y = x² y = -x² y = √x y = √-x 9. Which direction does the graph open? y = x² y = -x² y = √x y = √-x

9. Answer Which direction does the graph open? y = x² up y = -x² down y = √x right y = √-x left

10. What is a directrix?

A line perpendicular to the axis of symmetry 10. Answer A line perpendicular to the axis of symmetry

11. What is a focus?

11. Answer A point on the axis of symmetry that is equidistant from each opposing point on the graph

What indicates how wide a function is? 12. What indicates how wide a function is?

The coefficient in front of x², also known as a 12. Answer The coefficient in front of x², also known as a

Which function will have a wider graph? y = 0.5x² y = 5x² 13. Which function will have a wider graph? y = 0.5x² y = 5x²

13. Answer y = 0.5 x²

How are the graphs different? y = x² + 3 y = x² - 2 14. How are the graphs different? y = x² + 3 y = x² - 2

The vertex is different. y = x² + 3 is higher than y = x² - 2. 14. Answer The vertex is different. y = x² + 3 is higher than y = x² - 2.

15. What is the vertex of the function y = 2(x - 3)² + 1? Can you graph this function...?

15. Answer (3, 1)

What are the roots of the equation y = 5x² + 6x + 1? 16. What are the roots of the equation y = 5x² + 6x + 1?

16. Answer -1/5, -1

17. Is finding the roots of a function the same as finding the zeros of a function?

17. Answer yes

What is the inverse function of y = 5x⁹ - 7? 18. What is the inverse function of y = 5x⁹ - 7?

18. Answer y = ⁹√(x + 7)/5

19. How do you find the vertex of a function when it is written in standard form?

19. Answer x = -b 2a Then plug in for y.

20. How do you find the vertex of a function when it is written in intercept form?

Find axis of symmetry (between 2 points) 20. Answer Plot your intercepts Find axis of symmetry (between 2 points) Plug in x-value of A.S. to find y Plot vertex

How do you put the equation y = 3(x – 4)² + 1 in standard form? 21. How do you put the equation y = 3(x – 4)² + 1 in standard form?

21. Answer y = 3(x – 4)² + 1 y = 3(x – 4)(x – 4) + 1 y = (3x – 12)(x – 4) + 1 y = 3x² -12x -12x + 48 + 1 y = 3x² -24x + 49

22. Solve: 5 . 1-√3

22. Answer 5 1+√3 1-√3 1+√3 5(1-√3) -2

23. Graph the equation y² = 8x and list the following: Vertex: Focus: Directrix: Axis of Symmetry:

24. Answer Vertex: (0, 0) Focus: (2, 0) Directrix: x = -2 Axis of Symmetry: y = 0 8x = 4px 2 = p

Max & Min Monomial, Binomial, Trinomial Bonus Max & Min Monomial, Binomial, Trinomial