Question

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

Answer 1

c.

Explanation:

The leading coefficient is 5 (positive) so they both open upwards.

f has -3 (below x axis) and g has + 3. (above x-axis)