# How do you identify the important parts of #y= -7x^2# to graph it?

The axis of symmetry is

The vertex is

Axis of Symmetry: an imaginary vertical line the divides the parabola into two equal halves.

Determine a few points on both sides of the axis of symmetry.

Plot the points and sketch a curved parabola through the points. Do not connect the dots.

graph{y=-7x^2 [-14.49, 17.53, -11.08, 4.94]}

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To graph the equation y = -7x^2, identify the following key components:

- The coefficient of x^2, which determines the direction and degree of the parabola's opening.
- The vertex, which is the highest or lowest point on the graph.
- The axis of symmetry, which is a vertical line passing through the vertex, dividing the parabola into two symmetrical halves.
- The y-intercept, which is where the graph intersects the y-axis.
- Additional points on the graph can be found by selecting x-values and substituting them into the equation to find corresponding y-values.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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