Use your foldable on page 18 and angry birds warm-up on page 28.

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Presentation transcript:

Use your foldable on page 18 and angry birds warm-up on page 28. Helpful hints to help you with Graphs of Quadratic Functions foldable and Quadratic Equations Matching Activity Use your foldable on page 18 and angry birds warm-up on page 28.

Factor the quadratic equation to find the roots. 1 2 3 4 7 8 9 5 6 A B C D G H I E F Hints: Factor the quadratic equation to find the roots. Find the roots on the graph. 3. Use foldable on pg. 18 to help. I will do problem #1 as an example on the next slide.

Look at the foldable on page 18 to help Work shown on page 31 - 32 x = 1.5 x2 – 3x – 4 = 0 (x – 4)(x + 1) = 0 x = 4 x = -1   x = -1 x = 4 roots  (1.5, -6.25) How to find the axis of symmetry? Use the axis of symmetry formula 8 How to find the Vertex? Substitute “x” into the quadratic equation to get “y” x = 1.5 (1.5, -6.25) y = x2 – 3x – 4 y = (1.5)2 – 3(1.5) – 4 y = -6.25 Vertex: (1.5, -6.25) Look at the foldable on page 18 to help

Hints: Find the roots on the graph. 2. Work backwards to get the equation. Use angry birds warm-up on pg. 28 and foldable on page 18 to help I will do problem #3 as an example on the next slide.

 (1, -1) x = 1   (0, 0) {0, 2} Min (lowest point) y = x2 – 2x Letter E roots are in between so use the equation strips to help you find the answer. It’s like a puzzle… x = 0 x = 2 x(x – 2) = 0 x2 – 2x = 0 Equation needs to be in standard form y = ax2 + bx + c y = x2 – 2x (check with graphing calculator…I know, so much work )