Answer:
Axis of Symmetry is x = 2
Vertex is (2, -9)
X Intercepts are (5, 0) and (-1, 0)
Step-by-step explanation:
Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a
a=1
b=-4
c=-5
--4/2(1) = 2
Plugin to find the y value of the vertex.
2^2-4(2)-5=y
4-8-5=y
y = -9
The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2
Factor the equation to put into intercept form.
(x-5)(x+1) = y
The equation can be FOIL-ed to get back to standard form.
Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.
For (x-5) your intercept is (5, 0)
For (x+1) your intercept is (-1, 0)
The x intercepts are where the parabola will cross the x axis on the graph.
