Mathematics for 9th grades, Exams of Mathematics

Use this would help you a lot for mathematic

Typology: Exams

2020/2021

Uploaded on 08/26/2021

reynaldo-chavarriagaspar
reynaldo-chavarriagaspar ๐Ÿ‡บ๐Ÿ‡ธ

5

(1)

2 documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Compare Quadratics Go to DESMOS https://www.desmos.com/testing/northcarolina/graphing
1
Timmy wants to compare the
function
to
๐‘“(๐‘ฅ) = โˆ’ ๐‘ฅ2+ 6๐‘ฅ โˆ’ 2
the function graphed to the
right to see which one has a
larger maximum. Which
function has a larger
maximum.
Write the maximum for each:
maximum
๐‘“(๐‘ฅ)
๐‘“(๐‘ฅ) = โˆ’ ๐‘ฅ2+ 6๐‘ฅ
Graph maximum
Which one has the largest
maximum?
2
Chet wants to compare the
function
to
๐‘“(๐‘ฅ) = โˆ’ ๐‘ฅ2+ 6๐‘ฅ + 8
the function graphed below
to see which one has a
smaller(lower) minimum.
Which function has a lower
minimum.
Write the minimum for each
below:
minimum๐‘“(๐‘ฅ)
๐‘“(๐‘ฅ) = โˆ’ ๐‘ฅ2+ 6๐‘ฅ
Graph
minimum
Which one has the lower
minimum?
3
The flight path of a football is
given by the equation
๐‘ฆ = โˆ’ 0. 1๐‘ฅ2+ 6๐‘ฅ + 2
The flight path of another
football is recorded in the
table below. Which football
went higher?
Equation
Write the maximum for each
below:
Maximum of
๐‘ฆ = โˆ’ 0. 1๐‘ฅ2+ 6๐‘ฅ +
Maximum height
of table on the left
Which one has the largest
maximum:
(0,6)
y=-x^2+6x-2
y=-9.3x^{2}+51.9x-12.9
(3,92)
(2.79,59.5)
y=-0.1x^2+6x+2
pf2

Partial preview of the text

Download Mathematics for 9th grades and more Exams Mathematics in PDF only on Docsity!

Compare Quadratics Go to DESMOS https://www.desmos.com/testing/northcarolina/graphing

(^1) Timmy wants to compare the function ๐‘“(๐‘ฅ) = โˆ’ ๐‘ฅ to 2

  • 6๐‘ฅ โˆ’ 2 the function graphed to the right to see which one has a larger maximum. Which function has a larger maximum. Write the maximum for each: ๐‘“(๐‘ฅ) maximum ๐‘“(๐‘ฅ) = โˆ’ ๐‘ฅ 2
  • 6๐‘ฅ Graph maximum Which one has the largest maximum? (^2) Chet wants to compare the function ๐‘“(๐‘ฅ) = โˆ’ ๐‘ฅ to 2
  • 6๐‘ฅ + 8 the function graphed below to see which one has a smaller(lower) minimum. Which function has a lower minimum. Write the minimum for each below: ๐‘“(๐‘ฅ) minimum ๐‘“(๐‘ฅ) = โˆ’ ๐‘ฅ 2
  • 6๐‘ฅ Graph minimum Which one has the lower minimum? (^3) The flight path of a football is given by the equation ๐‘ฆ = โˆ’ 0. 1๐‘ฅ 2
  • 6๐‘ฅ + 2 The flight path of another football is recorded in the table below. Which football went higher? Equation Write the maximum for each below: Maximum of ๐‘ฆ = โˆ’ 0. 1๐‘ฅ 2
  • 6๐‘ฅ + Maximum height of table on the left Which one has the largest maximum:

(^4) Which function has a larger maximum? ๐‘“(๐‘ฅ) = โˆ’ ๐‘ฅ 2

  • 6๐‘ฅ โˆ’ 8 or ๐‘”(๐‘ฅ) = โˆ’ ๐‘ฅ 2
  • 7๐‘ฅ โˆ’ 10 ๐‘“(๐‘ฅ) maximum ๐‘”(๐‘ฅ) maximum Which one has the largest maximum: (^5) Which function has the lowest minimum? ๐‘“(๐‘ฅ) = ๐‘ฅ or 2
  • 3๐‘ฅ + 2 ๐‘”(๐‘ฅ) = 2๐‘ฅ 2
  • 6๐‘ฅ + 10 ๐‘“(๐‘ฅ) minimum ๐‘”(๐‘ฅ) minimum Which one has the lowest minimum? (^6) Tom Brady throws a football to Gronkowski for the winning touchdown of the game against the Kansas City Chiefs. The footballโ€™s flight takes a parabolic path and reaches a maximum height of 20 feet. Patrick Mahomes throws a football earlier in the game whose flight path could be modeled by the equation ๐‘“(๐‘ฅ) = โˆ’ 0. 01๐‘ฅ , where x 2
    1. 6๐‘ฅ represents how far the ball went down the field in yards and y represents the height of the ball in feet. Which football went higher in the air, Bradyโ€™s or Mahomesโ€™? Bradyโ€™s maximum height

feet

Mahomesโ€™ maximum height

Whose football

went higher in

the air?

(^7) Tom Bradyโ€™s winning touchdown throw was a 40 yard throw. If x represents yards instead of feet, which throw went farther -- Brady's or Mahomes? Look for the ZEROS Bradyโ€™s 40 yards Mahomes (^8) Which ball reaches its maximum height farther down the field, Bradyโ€™s or Mahomes? Find Bradyโ€™s quadratic equation Using points (0, 0) (20, 20) (40, 0) Bradyโ€™s Vertex Mahomes Vertex Which personโ€™s ball reaches its maximum height farther down the field?