Determine the x-intercepts of the function. Check all that apply. (–2, 0) (–1, –2) (0, 0) (1, 0) (2, 0)
2 answers:
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We have that
<span>y=-1/3(x+2)</span>²<span>+5
using a graph tool
see the attached figure
we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0) and (1.873,0)
5) the y intercept value is (0,3.667)
</span><span>
</span>
<span>y=-1/3(x+2)</span>²<span>+5
using a graph tool
see the attached figure
we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0) and (1.873,0)
5) the y intercept value is (0,3.667)
</span><span>
</span>
For this case we have:
By properties of the radicals
So:
.
Now, for power properties we have:
Thus,
So:
in its radical form
Answer:
in its simplest form.
in its radical form