Graph h(x)=(x−2)(x−4) . Use the parabola tool then choose the vertex followed by one point on the parabola.
1 answer:
Answer:
<em>Graph h(x)=(x−2)(x−4) is a parabola with vertex (3,-1) and the points on the parabola are (2,0) and (4,0).</em>
Step-by-step explanation:
clearly the graph of the equation of the given function: h(x)=(x−2)(x−4) is a upward parabola whose vertex is (3,-1).
the graph of the function h(x) is attached to the answer.
The points on the parabola are: (2,0), (4,0) which are also the x-intercepts of the graph.
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Answer:
The number of roots for equation is 4 .
Step-by-step explanation:
Here, the given function polynomial is :
The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).
Now here, the degree if the polynomial is 4 (highest power of variable x).
So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.
Hence, the number of roots for equation is 4 .