Section 5-3 Transforming Parabolas. Standard form vs Vertex Form  Standard form is y = ax 2 +bx+c  Vertex form is y = a(x-h) 2 + k.

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Presentation transcript:

Section 5-3 Transforming Parabolas

Standard form vs Vertex Form  Standard form is y = ax 2 +bx+c  Vertex form is y = a(x-h) 2 + k

Vertex form y = a(x-h) 2 + k  In this form you can tell this: Vertex is (h, k) Axis of symmetry x = h “a” is positive happy, “a” is negative sad If the absolute value of a is < 1 the graph will be wider than the graph of y = x 2 If the absolute value of a is > 1 then the graph will be narrower than the graph of y = x 2

Look at y =.5(x-2)  Vertex  Axis of symmetry  Find another point

y = -2(x-5)  Vertex  Axis of symmetry

Write the equation of the parabola shown below.

Write y = –7x 2 – 70x – 169 in vertex form.

Write each function in standard form  y = -(5x+6) 2 - 9

2.Identify the vertex and the y-intercept of the graph of y = –2(x + 5) Write the equation y = 3x x – 1 in vertex form. Checking for Understanding