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Day5 - Completing the Square (Changing from y-intercept form to Vertex form)

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Day5 - Completing the Square (Changing from y-intercept form to Vertex form)

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Can you find the perfect square in the following quadratic equations?
a) y = x2 + 6x + 3
b) y = x2 + 8x - 16
c) y = x2 - 12x + 20
d) y = x2 + 20x
e) y = 5x2 -70x + 30

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Day5 - Completing the Square (Changing from y-intercept form to Vertex form)

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Day5 - Completing the Square (Changing from y-intercept form to Vertex form)

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Day4 - Deriving the Quadratic Equation from Points

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Day4 - Deriving the Quadratic Equation from Points

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Can you find the equation of the quadratic with x-intercepts at (-5,0) and (3,0) and another point at (-1,-4)?

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Day4 - Deriving the Quadratic Equation from Points

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Day4 - Deriving the Quadratic Equation from Points

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Can you find the equation of the quadratic with a vertex at (2,4) and y-intercept at (0,2)?

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Day2 - Finding the Vertex using the x-intercepts

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Day2 - Finding the Vertex using the x-intercepts

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Day2 - Finding the Vertex using the x-intercepts

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Day2 - Finding the Vertex using the x-intercepts

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The y-intercept and Vertex are the same point

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Day2 - Finding the Vertex using the x-intercepts

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Day2 - Finding the Vertex using the x-intercepts

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Find the vertex from the equation y=-3(x+3)(x-1)

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This group completed the Dolphin question on the left side of the photo.

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Here are the quadratic problems from today's class.

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Day2 - Finding the Vertex from the x-intercept Form

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Day2 - Finding the Vertex from the x-intercept Form

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If you know the x-intercepts of a quadratic, then you can find the axis of symmetry by finding the midpoint (or average) of the x-intercepts. The axis of symmetry is the x-coordinate of the vertex, so all you need to find is the y-coordinate by using the equation.

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Day1 - Finding the x-intercept(s) from the quadratic equation in Vertex Form

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Day1 - Finding the x-intercept(s) from the quadratic equation in Vertex Form

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This group had an idea of changing the equation to standard/y-intercept form. But it's not as easy as it looks! There's a very common error in the calculations of the equation on the top left. Do you see it?

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Day1 - Finding the x-intercept(s) from the quadratic equation in Vertex Form

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Day1 - Finding the x-intercept(s) from the quadratic equation in Vertex Form

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Remember, when you square root something your answer should be positive or negative. This will help you find the x-intercepts, especially if there are 2 of them.

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Day1 - Finding the x-intercept(s) from the quadratic equation in Vertex Form

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Day1 - Finding the x-intercept(s) from the quadratic equation in Vertex Form

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More student work.
How can you verify your x-intercept(s) are correct?