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Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 5 x squared minus 3. g (x) = 5 x squared + 3.
a.
both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
b.
both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
c.
both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
d.
both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis

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MrRoyal

The similarities/differences observed in the graph is (c) both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis

How to describe the similarities/differences?

The equations are given as:

f(x) = 5x² - 3

g(x) = 5x² + 3

Next, we plot the above equations on the same plane (see attachment)

From the attached graph, we can see that:

  • Both functions open upward
  • The lowest point of f(x) is at y = 3; i.e 3 units above the x-axis
  • The lowest point of g(x) is at y = -3; i.e 3 units below the x-axis

Hence, the similarities/differences observed in the graph is (c)

Read more about quadratic graphs at:

https://brainly.com/question/18797214

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