Standard Form
What is the y-intercept of this quadratic equation?(written as a coordinate point)
y=3x2+2x+5
(0,5)
What is the vertex of this quadratic equation?
y=4(x+3)2-5
(-3,-5)
What are the x-interecpts of this quadratic function? (written as coordinate points)
y= 2(x+2)(x-5)
(5,0) & (-2,0)
What is the y-intercept of this quadratic equation?(written as a coordinate point)
y+5=4x2+2x-8
(0,-13)
What is the formula to find the axis of symmetry?
-b/2a
What are the x-interecpts of this quadratic function? (written as coordinate points)
y= x2-14x+24
(12,0) & (2,0)
Change this quadratic equation from factored form to standard form?
y=(x-9)(x+2)
y= x2-7x-18
What is the vertex of the quadratic function?
y= 3x2 -12x+1
(2,-11)
What are the x-interecpts of this quadratic function? (written as coordinate points)
y= (5x+7)(2x-9)
(-7/5,0) & (9/2,0)
Change this quadratic equation from factored form to standard form?
y=4(2x-2)(3x+7)
24x2+32x-56
What is the vertex of the quadratic function?
y= (x-3)(x+5)
(-1,-16)
A social scientist researches world hunger for the Agriculture Organization. The social scientist measures the undernourished population. The social scientist found the equation, y = 0.2(x + 1) (x - 14)models the relative change as a percentage, y, of the undernourished population x years since 2001.
What are the coordinate points of the x-intercepts?
(-1,0) & (14,0)
What is the standard form of a quadratic equation and what does c represent?
ax2+bx+c
c represents the y -intercept
A researcher found that for the years 2010 to 2016, the equation, y= -0.4(x-3)2+42 models the average gas mileage of new vehicles in Texas, where x is the number of years since 2010 and y is the average gas mileage, in miles per gallon (mpg). Enter a number to show the year when the average gas mileage was the greatest for new vehicles sold in Texas.
2013
Fun World Theme Park is building a new roller coaster that goes underground at one point. The equation E(t) = t2- 14t + 33 represents the elevation, E, in feet and the time, t, in seconds, of the roller coaster's path.
How many seconds is the rollercoaster underground for?
8 seconds