Slope and Direct Variation with Transformation

If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?

• x = -7

• x = -2.3

• x = 2.3

• x = 7

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

• y=1344x

• y=100x

• y=5.25x

• y=4/21x

Is this a direct variation?
y=2x

• yes

• no

In a direct variation, y=39 when x=3.  Find the value of y when x=2.

• 26

• 3

• 58.5

• 2

The graph of g(x) is a
(a)   translation ​ (b)   units ​ ​ (c)   the graph.

• vertical

• 2

• 1

• up

• down

• left

• right

The graph of r(x) is a​ ​ (a)   ​by the graph of f(x) by a factor of ​ ​ (b)   .

• horizontal stretch

• horizontal shrink

• vertical stretch

• vertical shrink

• 1/3

• 3

• 2/3

Which of the given graphs is a direct variation?

• A

• B

• C

• D

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f

• The graph of f is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

The parent function g(x) is shown on the graph. The function f(x) is shown on the graph. The slope of f(x) is _________________ the slope of g(x).

• Steeper

• Less steep

• Equal to

The parent function g(x) is shown on the graph. The function f(x) is shown on the graph. The slope of f(x) is _________________ the slope of g(x).

• Steeper

• Less steep

• Equal to