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Graph the parabola.y=-4x² +5Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button

Sagot :

This is the basic parabola shifted 5 units up.

So, the vertex is at::

(0, 5)

Now, to get 2 points to the left, we take x = -1 and x = -2 and find corresponding y value.

To get 2 points to the right, we take x = 1 and x = 2 and find corresponding y values.

Thus,

When x = -1,

y = -4(-1)^2 + 5

y = 1

When x = -2,

y = -4(-2)^2 + 5

y = -11

When x = 1,

y = -4(1)^2 + 5

y = 1

When x = 2,

y = -4(2)^2 + 5

y = -11

Plotting these 5 points, we connect a smooth curve.

Shown below:

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