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

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)

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

case B)

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

case C)

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

case D)    

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

case E)  

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

well the answer to that is xoxoxo

step-by-step explanation:

m∠a is 90°

m∠b is 40°