Question

You are working with a quadratic equation and construct the following table.

Answer 1

Answer:

a) Vertex is at (-3, -1)

b) y-intercept is at (0,8)

c) x intercept is at (-4,0) and (-2,0)

d) x=-3

Step-by-step explanation:

We know the vertex is the lowest or highest part of a parabola meaning all the points are reflected across.  It is the only y value without a matching pair

E.x. -1 and 1, -3 and 3

The only point without a corresponding y value is (-3,-1) therefore the vertex is at (-3,-1)

The y-intercept is where the parabola meets the y axis or the x value is equal to 0, we just have to find when x = 0 to find the y intercept

y intercept: (0,8)

For the x intercept's it is just the reverse, you need to find where the parabola crosses the x axis or when y = 0

x intercept 1:(-4,0)

x intercept 2: (-2,0)

The axis of symmetry is also the x coordinate of the vertex which is 3 so

x = 3