a. Axis of the symmetry of the graph x=1.
b. Vertex A(1,-2)
c. y-intercept of the graph y = -1 at x =0.
d. Function will increase to the ±∞ as it is a parabola given by
y = (x -1)² -2.
What is parabola?
"Parabola is defined as U shaped curve where all the points are at equal distance from a fixed point called vertex."
Formula used
Equation of parabola
y = (x - h)² + k
(h ,k) are vertex of the parabola.
According to the question,
Plot all the points on the graph of quadratic equation we get ,
As shown in the graph,
Required shape is parabola
a. Axis of the symmetry where graph divided into two equal parts. From the graph we can see axis of symmetry is x=1.
b. Vertex of the parabola is the lowest or the highest point of the graph which is called origin of parabola. In the given graph vertex (1,-2).
c. Y-intercept is where x=0 and graph intersect with y-axis. Here y-intercept is y=-1 at x=0.
Equation of parabola given by substituting vertex(1,-2) in the formula we get y = (x -1)² -2.
d. Parabola function will increase up to the interval of ±∞.
Hence,
a. Axis of the symmetry of the graph x=1.
b. Vertex A(1,-2)
c. y-intercept of the graph y = -1 at x =0.
d. Function will increase to the ±∞ as it is a parabola given by
y = (x -1)² -2.
Learn more about parabola here
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