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Alona [7]
3 years ago
7

Drag each label to the correct location on the table. Each label can be used more than once. Match the attributes to the quadrat

ic functions. x-intercept (-2,0) 1 y-intercept: 0,-8) minimum value: -1 axis of symmetry: 1 x-intercept: 2,0) y-intercept: (0,8) f(x) = x2 - 2x - 8 g(x) = x2 + 6x + 8 h(x) = -x2 + 2x​

Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

9514 1404 393

Answer:

  • f: x-intercept (-2, 0), y-intercept (0, -8), axis of symmetry x = 1
  • g: x-intercept (-2, 0), y-intercept (0, 8), minimum value -1
  • h: axis of symmetry x = 1

Step-by-step explanation:

The equations can be written in factored form and vertex form to see the x-intercepts, axis of symmetry, and extreme value.

The y-intercept is the constant in the equation in standard form.

The axis of symmetry is the vertical line through the vertex.

__

<h3>f(x)</h3>

f(x) = x² -2x -8 = (x -4)(x +2) = (x -1)² -9

  x-intercept (-2, 0), y-intercept (0, -8), axis of symmetry x = 1

__

<h3>g(x)</h3>

g(x) = x² +6x +8 = (x +2)(x +4) = (x +3)² -1

  x-intercept (-2, 0), y-intercept (0, 8), minimum value -1

__

<h3>h(x)</h3>

h(x) = -x² +2x = -(x)(x -2) = -(x -1)² +1

  axis of symmetry x = 1

_____

<em>Additional comment</em>

We have only listed the intercepts, axis, and extreme where the values match a label.

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