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1. Consider the quadratic function.

f(x)=-(x+4)(x-1)
(a) What are the x-intercepts and y-intercept?

(b) What is the equation of the axis of symmetry?

(c) What are the coordinates of the vertex?

(d) Graph the function on the coordinate plane. Include the axis of symmetry.

 Mar 12, 2021
edited by Guest  Mar 12, 2021
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a)  x intercepts occur when f(x)   (which is 'y' )  = 0 

              -(x+4)(x-1) = 0        so x = -4   and   1   are the 'zeroes'   (x intercepts)

      y intercept is when x = 0        - (0+4)(0-1) = 4

 

b) axis of symmetry is exactly between the zeroes      x =  - 1.5

c)  the x coordinate of the vertex is tha axis of symmetry    x = - 1.5     use this value in the equation to calculate the 'y' coordinate

d ) graph it with your tools  

 Mar 12, 2021

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