ANSWER
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By the given roots x= -2 & x= 3/4, find the equation of the function.
[tex] \\ x = - 2 \: \: and \: \: x = \frac{3}{4} \\ \\ x + 2 = 0 \: \: and \: \: 4x = 3 \\ x + 2 = 0 \: \: and \: \: 4x - 3 = 0 \\ [/tex]
[tex] \\ (x + 2)(4x - 3) \\ 4 {x}^{2} - 3x + 8x - 6 = 0 \\ \\ \blue{4 {x}^{2} + 5x - 6 = 0} \: \: or \: \: \\ \blue{y = 4 {x}^{2} + 5x - 6 }\\ [/tex]
==> Find its table of values
X| -5 | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 |
Y| 69 | 38| 15 | 0 | -7 | -6 | 3 | 20 | 45 | 78 | 119 |
- The image shows what the graph looks like
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