Question

complete the sort using the graph below;
(graph of a parabola with green dots at vertex, x-intercepts, y-intercept, and another point)

vertex

x intercept(s)

y intercept(s)

axis of symmetry

options: 7, ( x = 4 ), 4, ( (4, -9) ), ( (1, 0) ) and ( (7, 0) ), ( (0, 7) ), ( (1, 7) )

Explanation:

Step1: Identify the vertex

The vertex is the lowest point of the parabola, which is the coordinate $(4, -9)$.

Step2: Identify x-intercepts

x-intercepts are where the graph crosses the x-axis, at $(1, 0)$ and $(7, 0)$.

Step3: Identify y-intercept

y-intercept is where the graph crosses the y-axis, at $(0, 7)$.

Step4: Identify axis of symmetry

The axis of symmetry is the vertical line through the vertex, given by $x=4$.

Answer:

• vertex: $(4, -9)$
• x intercept(s): $(1, 0)$ and $(7, 0)$
• y intercept(s): $(0, 7)$
• axis of symmetry: $x=4$