Function Notation, Graphing Using Slope Intercept and Standard Form and Transformations

What is the slope-intercept form of a linear function?

• y = mx + b

• y = mx^2 + b

• y = mx - b

• y = ax + b

Graph the linear function y = -3x + 2 in slope-intercept form.

• The graph of the linear function y = -3x + 2 is a straight line with a y-intercept of 2 and a slope of -3.

• The graph of the linear function y = -3x + 2 is a vertical line.

• The graph of the linear function y = -3x + 2 is a horizontal line.

• The graph of the linear function y = -3x + 2 is a parabola.

What is the standard form of a linear function?

• Ax + By = C

• Ax + By = E

• Ax + By = D

• Ax + By = F

How do you graph a linear function in standard form?

• Rewrite the equation in slope-intercept form and plot the y-intercept.

• Connect the points on the graph without considering the equation.

• Rewrite the equation in point-slope form and plot the slope.

• Plot the x-intercept and y-intercept.

Solve this standard form equation so that it is in slope intercept form 6x+12y = 48

• 48= 6x+12y

The equation of the linear function h(x) is shown. 

h(x) =  - 2x + 5

Choose a graph that represent the linear graph being shifted down 4 units.

Tags

A.FGR.2

Transform from standard form to slope intercept form:    2x-3y=10

• y=-2x+10

• y= 2/3x-10/3

• y=-2/3x+ 10/3

• y=2/3x+10

Graph the function

f(x)=3x+5

(remember slope intercept form f(x)=ax+b where a is slope, b is y-intercept) Start by plotting the y-intercept, then count the slope to the next point

Answer explanation

Graph:

y= -1/2(x) +3