### Aim #59-63 Groupwork - Manhasset Public Schools

```Name: _________________________________
Common Core Algebra 9H
Date: ___________
Group Work Aims 59-63
1) Find the key features for the graphs of the quadratic functions below.
x - intercepts
y- intercepts
axis of symmetry
vertex
vertex a min or max?
increasing interval
decreasing interval
Find average rate of change
For interval [2,4]:
For interval [-2,1]:
2) Determine the axis of symmetry and vertex algebraically for the quadratic functions.
a.
y = -2x2 + 24x -100
b.
y = -x2 – 2x - 1
3) Identify the key features: x-intercepts, y-intercept, and vertex. Choose and label an appropriate
scale for each axis and graph the function:
f(x) = (3x + 4)(x – 5)
4) Identify whether the following functions have a max or min and then find the ordered pair that
represents the max or min (the vertex).
a.
y = -3(x – 11)2 – 12
b. f(x) = x2 + 8x + 66
5) Melissa graphed the equation y = x2 and Dave graphed the equation y = -3x2 on the same coordinate
grid. Compare these two graphs.
6) If x = -3 is an equation of the axis of symmetry of the graph y = x2 + kx + 13, what is the value of k?
Solve algebraically.
7) State the equation of the axis of symmetry and the coordinates of the vertex of the parabola
graphed below.
8) Which equation defines the graph in the diagram?
(1) y = x2 + 6x + 1
(3) y = x2 + 3x
(2) y = -x2 + 6x + 1
(4) y = -x2 + 3x - 1
9) Draw the axis of symmetry of the parabola shown in the diagram below. What is the equation of this
axis of symmetry?
10) Graph the function y = -x2 + 10x + 3 by identifying the vertex, y-intercept, and x-intercepts. Round
to the nearest tenth for the x-intercepts.
11) Rewrite the function f(x) = x2 – 4x - 1 in vertex form. Identify the vertex, axis of symmetry, end
behavior, max or min, y-intercept, and x-intercepts. Leave your x-intercepts in both simplest radical
form and rounded to the nearest tenth. Graph the function.
```