The graph of a quadratic function touches, but does not cross, the x-axis at x = 4. Which function represents this situation? y = x2 – 16 y = x2 – 4x y = x2 – 8x + 16 y = x2 + 8x + 16

Respuesta :

y = x2 - 8x + 16 doesn't cross the x axis

The quadratic equation is y = x^2 - 8x + 16

How to determine the equation?

From the question, we have:

x = 4

Since the graph only touches x = 4 and it does not cross it, then it means that the graph has a multiplicity of 2 at x = 4

The equation is then represented as:

y = (x - 4)^2

Expand

y = x^2 - 8x + 16

Hence, the quadratic equation is y = x^2 - 8x + 16

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