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How do you identify the important parts of #y= ½(x-4)(x+2)# to graph it?

Answer 1

Graph #y = (1/2)(x - 4)(x + 2)#

The important parts are: a. x-coordinate of axes of symmetry and vertex: #x = (x1 + x2)/2 = (4 - 2)/2 = 1# y-coordinate of vertex: #y = (f1) = (1/2)(-3)(3) = -9/2# b. y-intercept --> Make x = 0 --> #y = -8/2 = -4# c. x-intercepts --> x = 4 and x = -2 graph{1/2(x - 4)(x + 2) [-10, 10, -5, 5]}

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Answer 2

Julia Adams

To graph the function ( y = \frac{1}{2}(x - 4)(x + 2) ), you identify the important parts by determining the vertex, axis of symmetry, and intercepts. The vertex can be found using the formula ( x = -\frac{b}{2a} ), where ( a ) and ( b ) are the coefficients of the quadratic function. The axis of symmetry is the vertical line passing through the vertex. To find the intercepts, set ( y = 0 ) to find the ( x )-intercepts and set ( x = 0 ) to find the ( y )-intercept.

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Answer from HIX Tutor

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.