Question

Use the image to answer the question.

Coordinate plane graph of a parabola opening upward, labeled f(x) = x squared minus 3, with seven points plotted and labeled.
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Describe the effect a transformation of f(x)+6
will have on the x-intercepts of the function in the graph.

(1 point)

There will be no x-intercepts, as the graph will be shifted down 6 units and located entirely below the x-axis.

The x-intercepts will be shifted 6 units to the left.

The x-intercepts will be shifted 6 units to the right.

There will be no x-intercepts, as the graph will be shifted up 6 units and located entirely above the x-axis.
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Answer 1

There will be no x-intercepts, as adding 6 shifts the graph up 6 units. f(x)+6 = x^2+3 has vertex at (0,3) and never crosses the x-axis.