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# What is the reflection of f of x equals x2 across the x axis?

Updated: 12/17/2022

Wiki User

13y ago

It is f(x) = -x^2.

Wiki User

8y ago

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Q: What is the reflection of f of x equals x2 across the x axis?
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### Which of these functions is the reflection of f of x equals x2 across the x - axis?

The question asks about "these functions". In those circumstances would it be too much to expect that you make sure that there is something that these can refer to?

### Y equals x2 plus 4 lies on which axis?

y = x2 + 4 The graph is a parabola, with its nose at y=4 on the y-axis, and opening upward.

### What reflects across the x-axis?

If a function reflects along the x-axis, that indicates that it has both negative and positive solutions. For example, y = x2 reflects along the x-axis because x2 = -x2. In general, a function will reflect along the x-axis if f(x) = f(-x).

### Y equals x2-12x plus 38?

It is a parabola which doesn't touch the X-axis. i.e., It has no real roots.

### How many times does the graph of y equals x2-3x 5 intersect the x axis?

If you mean x2-3x+5 then the answer is none because its discriminant is less than zero

### What is an equation of the axis of symmetry of the parabola represented by y equals -x2 plus 6x-4?

Line of symmetry: x = 3

### X2 plus y - 52 equals 30?

x2 + y - 52 = 30x2 - x2 + y - 52 + 52 = - x2 + 30 + 52y = -x2 + 82Since a = -1, the parabola open downward, and crosses the x-axis at x = +&- sq.root of 82.0 = -x2 + 820 - 82 = -x2 + 82 - 82-82 = -x282 = x2+&- sq.root of 82 = x

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No real roots. Imaginary roots as this function does not intersect the X axis.

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### How does the shape of y equals x2 differs from the graph of y equals x3?

y = x2 is an (approximately) U shaped graph that is entirely above the x axis and is symmetric about the y axis. y = x3 is asymptotically negatively infinite when x is negatively infinite and positively infinite when x is positively infinite. It is symmetric about the line x+y=0.