1. Robert and Erica, were reviewing equations of parabolas for their upcoming math test. They disagreed on what the equation would look like for a parabola
whose vertex was at (-5.4)
a. Help them write an equation for a parabola that opens upward from its
vertex (-5,4). What is the equation of its line of symmetry?
b. Robert wants the same parabola to open down and Erica wants it to be
compressed. Show them how to change your original equation to meet
both of their desires. Does the line of symmetry change?
c. Move your parabola from part (b) 8 units to the left and 7 units up and
stretch it vertically so that it is thinner than the original
parabola. What is the equation of the parabola? What is the equation
of its line of symmetry?