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20 questions
A function that can be written in the form
f(x)=ax2+bx+c where a=0 is called a __________ function.The graph of a quadratic function is called a ___________.
Which of the following are important features for the graph of a quadratic function?
x-intercepts
y-intercepts
vertex
axis of symmetry
Which of the following is a quadratic formula in standard form?
f(x)=ax2+bx+c, (a=0)
y−k=a(x−h)2
y=a(x−r1)(x−r2)
Which of the following is a quadratic formula in intercept form?
f(x)=ax2+bx+c, (a=0)
y−k=a(x−h)2
y=a(x−r1)(x−r2)
Which of the following is a quadratic formula in vertex form?
f(x)=ax2+bx+c, (a=0)
y−k=a(x−h)2
y=a(x−r1)(x−r2)
List the intercepts, vertex, and axis of symmetry for the quadratic function whose graph is shown.
List the intercepts, vertex, and axis of symmetry for the quadratic function whose graph is shown.
Which quadratic equations are equal to y=(x+1)(x−3) ?
y=x2−2x−3
y−5=−2(x+1)2
y=x2−x−6
y=(x+2)(x−3)
y+4=(x−1)2
Which quadratic equations are equal to y=−2x2−4x+3 ?
y=x2−2x−3
y−5=−2(x+1)2
y=x2−x−6
y=(x+2)(x−3)
y+4=(x−1)2
Which quadratic equations are equal to y+425=(x−21)2 ?
y=x2−2x−3
y−5=−2(x+1)2
y=x2−x−6
y=(x+2)(x−3)
y+4=(x−1)2
Solve the the following equation using any method of your choice: x2+10x+24=0
Solve the the following equation using any method of your choice: x2+3x−28=0
Solve the the following equation using any method of your choice: 6x2+11x−35=0
Solve the the following equation using any method of your choice: 5x2−180=0
Solve the the following equation using any method of your choice: x2−5x+2=0
Solve the the following equation using any method of your choice: 3x2+5x−12=0
Completely simplify the following expression: −99
3i
i99
3i11
Which of the following are solutions for the following equation: x2−4x−5=0
x=2+i
x=−2+i
x=2−i
x=−2−i
A farmer wishes to enclose a pasture that is bordered on one side by a river (so one of the four sides won't require fencing). She has decided to create a rectangular shape for the area, and will use barbed wire to create the enclosure. There are 600 feet of wire available for this project, and she will use all the wire. What is the maximum area that can be enclosed by the fence? (Hint: Use this information to create a quadratic function for the area enclosed by the fence, then find the maximum of the function.)
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