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.
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<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
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<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
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<h3>h(x)</h3>
h(x) = -x² +2x = -(x)(x -2) = -(x -1)² +1
axis of symmetry x = 1
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<em>Additional comment</em>
We have only listed the intercepts, axis, and extreme where the values match a label.
