Points (2,−1), (−2,7), (1,−2), (0,−1), and (4,7) lie on the graph of a quadratic function. a. What is the axis of symme
try of the graph? b. What is the vertex? c. What is the y-intercept? d. Over what interval does the function increase?
1 answer:
Answer:
a) The Axis of Symmetry is X = 1
b) The Vertex is (1,-2)
c) X=0 at Y = -1
d) y = (x-1)^2 - 2
Step-by-step explanation:
a) This is where the graph can be divided into 2 equal parts. Since this is a parabola it is located at the origin.
b) The vertex is the lowest or highest part of the graph. With parabolas it is also the origin.
c)The y-intercept is the point where the graph passes through the y-axis or where x = 0.
d)If you look at the points (0,-1) and (2,1). They are both left/right one, up one from the origin or (1,-2). This means it is a regular y=x^2 parabola, just moved over. If it was up two or three (etc) it would be up two or three, respectfully.
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