I can identify key characteristics of quadratic functions including axis of symmetry vertex min max y intercept x intercepts domain and range. Word problems involving quadratic equations height in feet time in seconds.
Projectile word problem time and vertical height with graphing calc area word problem motion word problem.
Quadratic max min word problems worksheet pdf. 13 min max word problems part 1. Red aerial mini flares are used by some boaters in an emergency. 14 factoring practice problems 16.
The flight of one brand of flare when fired at a angle of 70 to the horizontal is modelled by the function where h is the height in metres and t is the time in seconds since the flare was fired. Check each of the roots in the original quadratic equation. Optimisation 3 5 3 max min examples word problems with max min example.
Some typical problems involve the following equations. Find when the equation is equal to zero. R2 12r 35 0 2.
What are the dimensions of the pen built this way that has the largest area. If the cost per item is fixed it is equal to the cost per item c times the number of items produced x or c x c x. Because of symmetry.
Functions graphing in vertex form completing the square and min max problems 15. Notes whiteboard whiteboard page notebook software notebook pdf smart smart technologies ulc smart board interactive whiteboard created date. Typically there are two types of problems.
Complete each question on lined paper. Many word problems result in quadratic equations that need to be solved. Quadratic word problems short videos.
Types of factoring note. Find when the equation has a maximum or minumum value. Finding max and min values.
Y min y max y scl ans. Helps for graphing by hand factor form x intercepts. Word problems part 2.
After the problem has been factored we will complete a step called the t chart. Min max word problems 1 chapter 3. Lt 8 i can rewrite quadratic equations from standard to vertex and vice versa.
Quadratic word problems worksheet. Create a t separating the two. You want to construct a rectangular playground area.
X 2 bx c. Quadratic equations form parabolas. Quadratic relations 1 solving problems involving cost revenue profit the cost function c x is the total cost of making x items.
I can graph quadratic functions in vertex form using basic transformations. Optimization 1 a rancher wants to build a rectangular pen using one side of her barn for one side of the pen and using 100m of fencing for the other three sides. Factor the quadratic equation.
Once are separated set each to 0 and solve for the variable. Review test review test. 7 you have a 500 foot roll of fencing and a large field.
Vertex is a max and is the maximum value 1. Coordinate of vertex helps for graphing by hand don t know min or max value if then concave up if then concave down vertex is a min and is the minimum value. What are the dimensions of.