Key Features of Graphs Test – Algebra 1 Math (Printable PDF)

Question 1 Intercepts from an equation (2 points)

Find the x– and y-intercepts of 3x − 5y = 30.

Question 2 Features of a graph (3 points)

Study the graph of g.

(a) State where g is increasing. (1 point) (b) State where g is decreasing. (1 point) (c) Name the relative maximum point and the relative minimum point. (1 point)

Question 3 Rate of change from a table (3 points)

A function has the table

(a) Find the average rate of change from x = 3 to x = 9. (2 points) (b) Explain what your answer means. (1 point)

Question 4 Zeros and end behavior (2 points)

For f(x) = −x² + 9: (a) find the zeros. (1 point) (b) describe the end behavior. (1 point)

Question 5 Drone flight (3 points)

A drone’s height in feet is h(t) with h(0) = 20, h(4) = 100 and h(10) = 40, where t is in seconds. (a) Find the average rate of change from 0 to 4 seconds. (1 point) (b) Find it from 4 to 10 seconds. (1 point) (c) Interpret the sign of part (b). (1 point)

Question 6 Axis of symmetry (2 points)

The graph of f(x) = (x + 2)² − 5 is symmetric about a vertical line. (a) Write the equation of the line. (1 point) (b) The point (1, 4) is on the graph. Name its mirror point. (1 point)

Question 7 Compare two functions (2 points)

Let f(x) = 6x − 4. Function g has the table

Which function rises faster, and which starts higher at x = 0?

Question 8 Parabola features (3 points)

Study the graph of h.

(a) Name the vertex, and decide if it is the lowest or the highest point. (1 point) (b) Where does the graph cross the x-axis? (1 point) (c) State where h is negative. (1 point)