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beks73 [17]
2 years ago
14

Which of these equations has a graph that is tangent to the x-axis at one of its intercepts? Choose all the polynomials that hav

e this property.
y = x2 + 6x + 9
y = –x3
y = (x + 2)(x + 6)2
y = (x – 5)(x + 3)(x + 1)(x – 5)
y = x4

Mathematics
2 answers:
anzhelika [568]2 years ago
8 0

Answer:

y=x^{2}+6x+9

y=-x^{3}

y=(x+2)(x+6)^{2}

y=(x-5)(x+3)(x+1)(x-5)

y=x^{4}

Step-by-step explanation:

we know that

If the graph is  tangent to the x-axis at one of its intercepts

then

the vertex of the graph or the inflection point of the graph lie on the x-axis

using a graphing tool

Verify each case

case A) y=x^{2}+6x+9

The case A) has a graph that is tangent to the x-axis at one of its intercepts

case B) y=-x^{3}

The case B) has a graph that is tangent to the x-axis at one of its intercepts

case C) y=(x+2)(x+6)^{2}

The case C) has a graph that is tangent to the x-axis at one of its intercepts

case D) y=(x-5)(x+3)(x+1)(x-5)    

The case D) has a graph that is tangent to the x-axis at one of its intercepts

case E) y=x^{4}  

The case E) has a graph that is tangent to the x-axis at one of its intercepts


Andrews [41]2 years ago
4 0
I think y=x2+6x+9 hope this helps
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