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Parabolas are sometimes concave left or concave right!

Parabolas are sometimes concave left or concave right! . Acc Math 3: Lesson 4. Follow up on Warm Up. Find the zeros (zeros and x- int are the same thing) and y- int for V, VII Show algebraically that V has no y-int. Write the function rule for the bottom half of VIII. .

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Parabolas are sometimes concave left or concave right!

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  1. Parabolas are sometimes concave left or concave right! Acc Math 3: Lesson 4

  2. Follow up on Warm Up • Find the zeros (zeros and x-int are the same thing) and y-int for V, VII • Show algebraically that V has no y-int. • Write the function rule for the bottom half of VIII.

  3. More completing the square….. • Example: Rewrite the below expression in parabolic form: • Practice: Rewrite the below expression in parabolic form:

  4. How do we determine the domain and range of a parabola? • Range is simply all real numbers (ARN). • Domain is found by solving what is inside the ( ) for the right side of the equation for x (take opposite sign of h). • If the graph is concave left (a<0) then the Domain will be this solution. • If the graph is concave right (a>0) then the Domain will be this solution. • Example: Find the Domain and Range for each of the below • Hint: “a” will end up being 12

  5. Example: • For the given equation find the following: • Zeros and Y-intalgebraically • Find the equation for the axis of symmetry • Solve for y, identify the functions for the top and bottom • Graph each portion on the graphing calculator • Graph on the same graph. • Find the intersection points between the line and parabola using 2nd /Calc/intersect • Find the corresponding y-value on the parabola for x=3 using 2nd /Calc/value • Example 2 (if time) Graph: • Graph on the graphing calculator and find the intersection between this circle and the line above.

  6. Example/Practice: • Sketch the graph of: • Rewrite the function in standard form • Identify the “a”, vertex, domain and range and axis of symmetry • Find the x-intalgebraically (verify that both equations work)

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