All real numbers

To infinity and beyond

y ≥ 0

x ≥ 0

Domain : 0 ≤ d ≤ 280

Domain : 0 ≤ h ≤ 150

Domain : 0 ≤ d ≤ 570

Domain : 0 ≤ h ≤ 280

vertices

squares

zeros

formulas

Roots

Zeros

x-axis

Solutions

parabola

vertex

graph

point

(2, 4)

(3, -1)

(0, 8)

(4, 2)

-3

-1

All real numbers

1

maximum at -1

minimum at -1

maximum at 4

minimum at 4

The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum

The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum

The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

Increases

Decreases

Stays the Same

Goes to the vertex

Increases

Decreases

Stays the Same

Goes to the vertex

5

-1/5

-5

15

3

-3

3/2

-1/3

$$\frac{4--3}{27--1}=\frac{7}{28}=\frac{1}{4}$$

$$\frac{-1-27}{4--3}=\frac{-28}{7}=-4$$

$$\frac{27--1}{4--3}=\frac{28}{7}=4$$