Vertex form
A quadratic function has a vertex at (5,-2) and passes through the point (-1,-18) whats the equation in vertex form?
y=-4/9(x-5)2-2
Factor 3x2-4=4x
X= -2/3 and X=2
2x2-7x=-12
No Solution
3x2+6=198
X=8
X=-8
Bob has a rocket launcher that models the path h(t)=-16x2+72x, where T is time in seconds and H is height in yards
How high is the t-shirt at 2 seconds?
80 yards
A quadratic function has a vertex at (-5,-3) and passes through the point (4,-84). what is it in vertex form?
Y=-1(x+5)2-3
9x-6x2=0
X=0 and X= 3/2
3x2-3x-1=0
X=3+√21 over 6
X=3-√21 over 6
-2-8x2=-34
X=2
X=-2
Bob has a rocket launcher that models the path h(t)=-16x2+72x, where T is time in seconds and H is height in yards
A) What is the max height of the rocket?
B) When will the rocket reach the max height?
A) 81 yards
B) 2.25 seconds
a quadratic function has a vertex at (3,11) and passes through the point (1,16). What’s the equation in vertex form.
y=5/4(x-3)2+11
Factor x2+9=6x
X=3
2x2-3x-1=0
X=3+√17 over 4
X=3-√17 over 4
128=2(x+1)2-2
X=-1+√65
X=-1-√65
Bob has a rocket launcher that models the path h(t)=-16x2+72x, where T is time in seconds and H is height in yards
A) When will the rocket hit the ground?
B) What is a reasonable domain and range?
A) 4.5 Seconds
B) Domain: 0≤X≤4.5 — Range: 0≤Y≤81