Algebra 1, Please help! Graphing Standard Form and Graphs that Represents Situations

Question

Match each equation to a graph that represents it.

Graph A:

Graph B:

Graph C:

Equations:

f(x) = x² - 4

g(x) = 1 - x²

h(x) = x² + 4

Graph Image: https://assets.learnosity.com/organisations/154/7f0e4277-3e27-434a-8a64-240affcc993b.png

Answer 1

Hi Candi,

The vertex form of a parabola is y=a(x-h)² + k, where (h,k) is the vertex of the parabola.

f(x) = x² - 4 will have a vertex at (0, -4) and the parabola will point upwards because x² is positive. This corresponds to graph B.

g(x) = 1 - x² will have a vertex at (0,1) and the parabola will point downwards because x² is negative. This corresponds to graph C.

h(x) = x² + 4 will have a vertex at (0, 4) and the parabola will point upwards because x² is positive. This corresponds to graph A.