![ldkruger19](/avatars/15330.jpg)
ldkruger19
17.10.2019 •
Mathematics
Quadratic formula, someone (30 points)
1. create your own quadratic function.
2. calculate the x and y values for the vertex point of your parabola.
3. state what the axis of symmetry is.
4. set your quadratic function to zero (let y = 0) and use either the quadratic formula or completing the square method to solve for the two solutions of x when y = 0
5. calculate the discriminant for your quadratic equation.
Solved
Show answers
More tips
- F Food and Cooking What age is appropriate for giving your child cocoa?...
- A Auto and Moto How to Start a Diesel Engine in Cold Weather?...
- F Family and Home How to Remove Tar Stains: Tips and Recommendations from Experts...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- S Sport How to Do a Jumping Split...
- H Health and Medicine How Did Inna Lose Weight on Dom 2?...
- F Family and Home How to Properly Fold Napkins in a Napkin Holder?...
- F Food and Cooking How to Set Up Ventrilo - The Ultimate Guide...
- S Science and Technology How to Make a Homemade Smoker: The Ultimate Guide...
- A Auto and Moto Battle for the Relocation of The Cherkizovsky Market: Who Won?...
Answers on questions: Mathematics
- M Mathematics 93=30-e This is 10 points I will give brainey If you answer with the right answer the fastest no links are accepted...
- M Mathematics Which best describes the statement -10 -15? The statement is false because - 10 is greater than - 15, and -10 is located above - 15 on a vertical number line oriented from...
- M Mathematics Volumen de un prisma de base cuadrangular de 36 centimetros de altura y 21 centimetros de arista de la base...
- M Mathematics Mirela cut wrapping paper in the shape of the net below to cover a present. What is the surface area of her gift?...
- M Mathematics If Z is the centroid of WXY, WR=87, SY=39, and YT=48, find each measure...
- M Mathematics Circle the smaller number: 0.123 0.13. Explain how to use the grids below to support your answer....
- M Mathematics What do I do!! mike cuts 4 equal pieces. What is the angle measure of each piece? Write and solve the equation...
- M Mathematics Prove segment AMAM is congruent to segment CMCM.(will mark branilest)...
- M Mathematics 8x + 9y - 6x - 3y i forgot how to do these lol...
- M Mathematics Which statement about the line in the graph is false? The two triangles are similar. The ratio of the horizontal side length to the vertical side length of each triangle...
Ответ:
y = -5x^2 + 10x - 3
2. the equation to find the x value of the vertex uses is the equation -b/2a. You may notice that this is similar to the quadratic formula except for you take away the plus or minus square root part. if you think about it, it makes sense that this would be the vertex because the plus or minus parts are an equal distance away from the center of the parabola. so using the form ax^2 + bx + c we can plug in the a and b:
x = -10/2 (-5)
x = -10/-10
x = 1
so we have x and can plug into equation to get y value:
y = -5 (1)^2 + 10(1) -3
y= -10 + 10 - 3
y = -3
vertex is at point (1, -3)
3. the axis of symmetry is the line that runs straight up and down at the center of a parabola. the center of the parabola is the vertex so the line runs straight up and down through vertex. for a line to run straight up and down it is a constant x value. since the x of the vertex is 1, the line is:
x = 1
4. using quadratic formula :
x = [-b (+-) sqrt (b^2 - 4ac)]/2a
we get:
x = [-10 (+-) sqrt (10^2 - 4 (-5)(-3)]/2 (-5)
x = [-10 (+-) sqrt (100 - 60)]/-10
x= [-10 (+-) sqrt (40)]/-10
x= [-10 (+-) 2* sqrt (10)]/-10
x= [5 (+-) sqrt (10)]/5
that is the answer. You can use a calculator to solve easily.
5. the discriminant is the solution to what is under the squareroot sign. so the square root part was:
sqrt (b^2 - 4ac)
so discriminant is :
b^2 - 4ac
so for this function it is:
10^2 - 4 (-5)(-3)
solving this the discriminant is 40
Ответ: