Y 7 6 5 4 3 2 1 -2 -3 -4 -5 -6 8 Label each of the components of the parabola A: B: C: C B B 1 2.

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Presentation transcript:

y 7 6 5 4 3 2 1 -2 -3 -4 -5 -6 8 Label each of the components of the parabola A: ________________ B: ________________ C: ________________ C B B 1 2 3 4 5 6 7 8 9 -1 A y -7

y How do you find this? VERTEX y 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 8 How do you find this? 1 2 3 4 5 6 7 8 9 -1 VERTEX y -7

y How do you find this? VERTEX y 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 8 How do you find this? 1 2 3 4 5 6 7 8 9 -1 VERTEX y -7

y How do you find this? VERTEX y 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 8 How do you find this? 1 2 3 4 5 6 7 8 9 -1 VERTEX y -7

Find the vertex using

y How do you find these? Roots y 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 8 How do you find these? Roots 1 2 3 4 5 6 7 8 9 -1 y -7

y How do you find these? Roots y 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 8 How do you find these? Roots 1 2 3 4 5 6 7 8 9 -1 y -7

y How do you find these? Roots y 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 8 How do you find these? 1 2 3 4 5 6 7 8 9 -1 Roots y -7

Find the roots or the solutions to each quadratic

y How do you find these? Trickeryyyyyy Roots y 8 7 6 5 4 3 2 1 -2 -3 -4 -5 -6 8 How do you find these? Trickeryyyyyy 1 2 3 4 5 6 7 8 9 -1 Roots y -7

Solve.

Solve by using the quadratic formula.

Objective - To solve quadratic equations using the quadratic formula.

Solve by using the quadratic formula.

Often we graph a quadratic function. Graph When we graph a quadratic equation, we must first find the coordinates of the vertex. To find the x-coordinate of the vertex, we must use the formula

Let’s graph this parabola The x-coordinate of the vertex is equal to a = 1 and b = -4 Vertex -2 -1 1 2 3 4 5 6

On your graph Make sure you put arrows on the end of your graph Write the equation next to the parabola Label the vertex and write its coordinates Circle and identify the roots Draw the axis of symmetry and write its equation Does the graph have a maximum or minimum? What is it? Identify the domain and range What type of orientation does the graph have.