Question

Use the graph of the parabola to fill in the table.

Answer 1

a) upward

b) (-3, 1)

c) x intercept: none

y -intercept: (0, 5)

d) x = -3

Step-by-step explanation:

a) The parabola opens upward

b) Coordinates of the vertex: (h, k)

`\begin{gathered} \text{The tip of the parabola is at x = }-3\text{ when y = 1} \\ \text{Vertex = (}-3,\text{ 1)} \end{gathered}`

c) x intercept is the value of x when y = 0

The parabola has no line crossing the x axis. Hence, it has no x intercepts

x intercept: none

y intercept is the value of y when x = 0

The line crosses the y axis at y = 5

when x = 0, y = 5

y - intercept: (0, 5)

d) Axis of symetry is the point a vertical line divides the parabola at the vertex.

The vertical line cuts the parabola into equal halves (mirror images) at x = -3

The equation of axis of symmetry is x = -3