Academy Algebra II 4.7: Completing the Square

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Presentation transcript:

Academy Algebra II 4.7: Completing the Square HW: p.288 (26, 28, 30, 36, 42, 48) Test 4.7-4.10: Wednesday, Oct 15th

Solve quadratics: completing the square Steps: 1.) Write the equation so it is in the form 2.) Add to both sides of the equation. 3.) Factor the left side- which will be a binomial squared. 4.) Take the square root of both sides and solve.

Solve by completing the square 1.) x2 – 12x + 4 = 0 2.) 2x2 + 8x = -14

Solve by completing the square 3.) 3x2 + 12x – 18 = 0 4.) x2 + 12x + 18 = 0

Write the function in vertex form, then identify the vertex. 1.) y = x2 – 10x + 22 y + ___ = (x2 – 10x + ___ ) + 22 complete the square y + 25 = (x2 – 10x + 25 ) + 22 y + 25 = (x – 5)2 + 22 isolate y y = (x – 5)2 – 3 identify vertex. Vertex = (5, -3)

Write the function in vertex form, then identify the vertex. 2.) y = x2 – 8x + 19 3.) y = 2x2 + 24x + 25

Find the value of x. 1.) Area of a rectangle = 50, base = x, height = x + 10 2.) Area of a triangle = 40, base = x + 4, height = x