A quarterback can throw a football in a perfect parabolic arc to a receiver 40 yards downfield. • The quarterback lets go of the ball 6 feet above the ground and the receiver catches the ball 6 feet above the ground. • The ball reaches a maximum height of 16 feet above the ground halfway to the receiver. Receiver Defender Quarterback

Q: Write an equation to match the graph with coordinates (3,1), (2,2), (1,4), (0,8)

A: Solution of given equation is written in below steps.

Q: The three points (3,-5), (-a+2,3), and (2a+3,2) lie on the same line. What is a?

A:

Q: Write an equation of a vertical line that passes through the point ( 2 , 5)

A: The equation of a vertical line , parallel to y-axis is x + k = 0 Here, the line passes through the…

Q: Descriptive analysis is normally used to predict the relationship of the variables.  True  False

A: Descriptive analysis : It can be useful for two reason. To provide basic information about…

Q: What is slope-intercept form

A:

Q: X y X > -4 6 -6 7 -3 0 -5 0 -2 -4 -4 -5 -1 -6 -3 -8 0 -6 -2 -9 1 -4 2 0 -1 0 -8 -5 3 6 1 0 4 14 2 7…

A:

Q: A new diet guideline claims that a person weighing 140 pounds should consume 1490 daily calories and…

A: Let us consider that, x represents the weight of the person and y represent  the number of daily…

Q: Write the point-slope form and the slope-intercept form of the line passing through (1, 3) and (3,…

A:

Q: write the slope-intercept form of the line passing through the points (-3,3) and (5,-1).

A: Given that the line is passing through the points

Q: The points (-3,101.5) and (3,-3.5) are on the graph of linear function K. What are the coordinates…

A: Given Points: x1, y1=-3,101.5x2, y2=3,-3.5 The equation of line passing through these point is,…

Q: what is mode?

A: Mode:Mode is used as a measure of central tendency. The mode is the most frequently occurring value…

Q: What is the slope and y-intercept of the line that goes through (0,0) and (6, 3)?

A: Given points are, x1, y1 = 0, 0x2, y2 = 6, 3   slope of line m = change in ychange in x

Q: what about the x and y intercepts

A: X-intercepts are given by substituting f(x)=0 and y-intercept is given by substituting x=0 in f(x).

Q: Write an equation of the line that passes through (0, 8)(0, 8) and (6, 8)(6, 8).

A: Given points are: (0,8) and (6,8)

Q: Write the equation of a vertical line that passes through the point (-1, 5).

A: We will write the general equation of line passing through a point and having slope m and then using…

Q: The value of a piece of machinery depreciates linearly until it has been reduced to a value of zero.…

A:

Q: What is the linear pattern of 4500 students in 2014 and 3700 students in 2019

A: The linear pattern is:   Since,             the no. of students are decreasing from the year 2014…

Q: Explain the relationship between the Blue Line, the Green Line and the Major Axis.

A: Locus definition of ellipse is given by PF1 + PF2 = 2a where 2a = major axis

Q: Write the equation for the line that contains the points (5,6) and (10,12).

A: Given points are  (5,6) and (10,12).

Q: How to bisect a straight line

A: Below are the steps to bisect a line,

Q: how to graph P(-1,3) and y=4x-7

A: Given equation:-  y=4x-7

Q: all of the equations of the lines that map the square onto itself

A: Here one square is given and we have to find the equation of the lines that maps the square onto…

Q: what is the slope intercept form of (-2,3) and (-4,-5)

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.