Lesson 1
Find the y-Intercept of y=3x-5x+7
The Y-Intercept is (0,7)
Given y=2(x-3)(x+5) Find the Intercepts.
Y-intercepts (0,30) X-Intercepts (3,0) and (-5,0)
Solve π₯ 2 β 9 = 0 x 2 β9=0 using factoring.
π₯=3,x=3
A businessβs profit, in thousands of dollars, is modeled by the quadratic equation: π ( π₯ ) = π₯ 2 β 2 π₯ β 3 P(x)=x 2 β2xβ3
a) Find the y-intercept of the profit function.
b) Find the x-intercepts of the profit function.
the y-intercept is (0,β3)
The x-intercepts are (3,0) and (β1,0).
The path of a rocket is modeled by the equation:
π¦ = β π₯ 2 + 4 π₯ β 3 y=βx 2 +4xβ3
Find the X- and Y- Intercepts.
The y-intercept is (0,β3).
The x-intercepts are (3,0) and (1,0).
Solve for x-Intercepts of y=x2-6x+5=0
The x-Intercepts are (5,0) and (1,0)
Write the factored form of a quadratic equation with x-intercepts π₯ = β 1 x=β1 and π₯ = 4 x=4
y=(x+1)(xβ4).
Solve 2 π₯ 2 + 3 π₯ β 2 = 0 2x 2 +3xβ2=0
x=1/2 and x=β2
Find the x- and y-intercepts of π¦ = β 2 π₯ 2 + 8 π₯ y=β2x 2 +8x.
X-intercepts:(0,0),(4,0)
Y-intercept:(0,0)
A ball is dropped and its height above the ground after t seconds is given by the equation: β ( π‘ ) = β π‘ 2 + 4 π‘ + 5 h(t)=βt 2 +4t+5
a) Find the y-intercept of the ball's height.
b) When does the ball hit the ground?
The y-intercept is (0,5)
the ball hits the ground after 5 seconds.
Verify if x=2 is an X-Intercept of y=x2-4x+4
Yes x=2 in an x-Intercept
Find the x-intercepts of π¦ = 3 ( π₯ β 2 ) ( π₯ β 1 ) y=3(xβ2)(xβ1) and confirm your solution.
The x-intercepts are (2,0) and (1,0).
Solve π₯ 2 + 6 π₯ + 9 = 0 x 2 +6x+9=0 by completing the square.
π₯ = β 3
The path of water in a fountain is modeled by the equation y=βx2+6xβ5y = -x2 + 6x - 5y=βx2+6xβ5.
a) Find the y-intercept of the fountain's path.
b) Find the x-intercepts of the fountain's path.
the y-intercept is (0,β5).
The x-intercepts are (5,0) and (1,0).
y=β2(xβ1)(x+4), find the x- and y-intercepts.
X-intercepts:(1,0),(β4,0)
Y-intercept:(0,8)
Write the equation of a parabola with a Y-Intercept of 10 and no x-intercepts
y=x2+4x+10
The equation of a quadratic is π¦ = β 3 ( π₯ β 4 ) ( π₯ + 2 ) y=β3(xβ4)(x+2). Find the x- and y-intercepts.
X-intercepts:(4,0),(β2,0)
Y-intercept:(0,24)
A parabola has the equation π¦ = π₯ 2 β 4 π₯ β 5 y=x 2 β4xβ5.
a) Find the x- and y-intercepts of the parabola.
b) Determine the x-coordinate of the vertex.
X-intercepts:(5,0) and (β1,0).
The x-coordinate of the vertex is π₯ = 2 x=2.
Find the x- and y-intercepts of π¦ = π₯ 2 β 6 π₯ + 8 y=x 2 β6x+8.
X-intercepts:(4,0),(2,0)
Y-intercept:(0,8),(0,8)
Determine the x-intercepts and y-intercept of π¦ = 4 ( π₯ + 1 ) ( π₯ β 3 ) y=4(x+1)(xβ3).
X-intercepts:(β1,0),(3,0)
Y-intercept:(0,β12)