# Comparing functions answer 178 write two different

This preview shows page 177 - 203 out of 222 pages. 178Write two different quadratic equations whose graphs have vertices at (3.5, -7). Two Functions 179What if "a"does not equal 1?Step 1 - Write the equation in the form y = ax2 + bx +__+ c - __Step 2 - Factor: y = a(x2+ (b/a)x +__)+ c - __Step 3 - Find (b/a÷ 2)2Step 4 - Put your answer from Step 3 in the first blank and multiply Step 3 by a to fill in the second blank.Step 5 - Write trinomial as perfect square.Standard Form to Vertex Form 180Rewrite the following quadratic in vertex form, and name the vertex.Standard Form to Vertex FormAnswer 181Rewrite the following quadratic in vertex form, and name the vertex.Standard Form to Vertex FormAnswer 18268What is the vertex form of:ABCDAnswer 18369What is the vertex form of:ABCDAnswer 18470What is the vertex form of:ABCDAnswer 185Geometric Definition of a ParabolaA parabola is a locus* of points equidistant from a fixed point, the focus, and a fixed line, the directrix. *locusis just a fancy word for set. Every parabola is symmetric with respect to a line through the focus and perpendicular to the directrix. The vertex of the parabola is the "turning point" and is on the axis of symmetry. 186Axis of SymmetryDirectrixFocusL1L2L1=L2Focus and Directrix of a ParabolaEvery point on the parabola is the same distance from the directrix and the focus. 187ParabolasThe parts are the same for all parabolas,regardless of the direction in which they open.DirectrixAxis of SymmetryVertexFocusy=ax2+bx+cVertexFocusDirectrixAxis of Symmetryx=ay2+by+c 188Parabolas can open up or down (vertical parabolas), OR left or right (horizontal parabolas). (Horizontal parabolas are not functions.)Parabolas that open left or right have the general equationand the vertex form ofwhere (h,k) is the vertex.Parabolas 189General Formy= ax2 + bx + cx= ay2+by + c Vertex Formy= a(x - h)2+k x= a(y - k)2+ h Opensa>0 opens upa<0 opens downa>0 opens to the righta<0 opens to the left Axis of Symmetryx = hy = k Vertex(h , k) (h , k) DirectrixFocusParabola Summary 19071What is the vertex of?A(-3, 2)B(-3, -2)C(2, 3)D(-2, -3)Answer 19172What is the vertex of?A(3, 2)B(-3, -2)C(2, 3)D(-2, -3)Answer 19273What is the vertex of?A(3, 2)B(-3, -2)C(2, 3)D(2, -3)Answer 193Converting from General Form to Vertex FormAnswer   19676What is the y-coordinate of the vertex?Answer  #### You've reached the end of your free preview.

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