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Home > A2C > Chapter 7 > Lesson 7.1.5 > Problem 7-84

7-84.
  1. Use the correct method from problem 7-83 to change each of the following equations to graphing form. Then, without graphing, find the vertex and equation of the line of symmetry for each. Homework Help ✎

    1. y = 2x2 − 8x + 7

    2. y = 52 − 10x − 7

Complete the square to find the equation.

y = 2(x2 − 4x + 4) + 7 − 8

Use y = a(xh)2 + k and (h, k) to find the vertex and axis of symmetry.

y = 2(x − 2)2 − 1

vertex: (2, −1)
axis of symmetry: x = 2

See part (a).

y = 5(x − 1)2 − 12
vertex: (1, −12)
axis of symmetry: x = 1