Answer:
Explanation:
To find the vertex from the given table look when the values of x or y start to switch the pattern. For example look at y value they get lower and lower 15,8,3,0,-1 then they get greater and greater 0, 3,8,15,24,...
So the he vertex is at (-2, -1) because here is where the pattern changed.
Y-intercept of the parabola is where the parabola intersects the y-axis so the x must be 0 there. Look in the table where is x=0 and see is at y=3.
Y-intercept point is at (0, 3)
X-intercept of the parabola is where the parabola intersects the x-axis so the y must be 0 there. Look in the table where is y = 0 and see is at x= -1 and also at x= -3.
X-intercept points are at (-1, 0) and (-3, 0)
Equation of the parabola in factored form is in general
y= (x- x intercept1)(x- x intercept 2), and for our problem is:
y = (x +1)(x +3)
The equation for the axis of symmetry is x = -2 because we have a vertical parabola (since x is squared in the equation) and the vertex is as we said previously at (-2, -1).