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SCORPION-xisa [38]
3 years ago
7

Which of the following is the graph of the quadratic function y - x? +10x+16 ?

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0

Find the vertex:

\textrm{Use the formula } \frac{-b}{2a} \textrm{ to find the vertex}\\ \\ \frac{-10}{2} = -5\\ \\ \textrm{In order to find the y value plug in -5 back into the function}\\ \\ y=(-5)^2+10(-5)+16\\ y=-9\\\\ \textrm{The vertex of the function is} (-5,-9)

Determine if the parabola will open up or down:

a > 0 \\ \\ 1>0

Since the value of a is positive, the parabola will open upwards

Find the x and y intercepts:

Factor y = x^2+10x + 16 to find the x intercepts

(x+8)(x+2)

x + 8 = 0

x = -8

x + 2 = 0

x = -2

x intercepts:

x = -2

x = -8

Find the y intercept

y = 0^2+10(0) + 16\\\\ y=16

Hence, C. Graph A best represents the quadratic function y = x^2+10x + 16

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