Does the following quadratic equation have a maximum or minimum value? How can you tell? y=x ²+2x-3

Minimum value, because the a value is positive

Maximum value, because the b value is positive

Maximum value, because the a value is positive

Minimum value, because the c value is negative

Lisa solves the equation below: x 2 + 4x - 12 = 2 (x - 2)(x + 6) = 2, by setting x -2 = 0 and x + 6 = 0. Her solutions are x = 2 and x = -6. Is Lisa correct? Why or why not?

No, she didn't set the equation to zero.

Yes, she factored correctly and then square rooted.

No, she did factor correctly, but solved it wrong. It should be equal to 2

What should you do first in solving this equation? x 2 + 6x - 13 = 3

Make it equal 0 by subtracting 3 on each side

If the graph of a quadratic does not touch the x-axis at any point, then it has:

No Real Solution / Imaginary solutions

if a = 2, b = 4 and c = 10, what are the errors in 4 ± 16 − 4 ( 2 ) ( − 10 ) 2 \frac{4\ \pm\sqrt{16\ -\ 4\left(2\right)\left(-10\right)}}{2} 2 4 ± 1 6 − 4 ( 2 ) ( − 1 0 ) <path d="M263,681c0.7,0,18,39.7,52,119c34,79.3,68.167, 158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120c340,-704.7,510.7,-1060.3,512,-1067 c4.7,-7.3,11,-11,19,-11H40000v40H1012.3s-271.3,567,-271.3,567c-38.7,80.7,-84, 175,-136,283c-52,108,-89.167,185.3,-111.5,232c-22.3,46.7,-33.8,70.3,-34.5,71 c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1s-109,-253,-109,-253c-72.7,-168,-109.3, -252,-110,-252c-10.7,8,-22,16.7,-34,26c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26 s76,-59,76,-59s76,-60,76,-60z M1001 80H40000v40H1012z">

The 4 outside the radical should be negative.

The denominator should be 4, not 2.

10 should be positive and not negative.

What is the simplified form of ( − 3 + 2 i ) ( 1 − 4 i ) (-3+2i)(1-4i) ( − 3 + 2 i ) ( 1 − 4 i )

− 2 − 2 i -2-2i − 2 − 2 i

− 11 − 10 i -11-10i − 1 1 − 1 0 i

− 3 − 8 i -3-8i − 3 − 8 i

What is the simplified form of ( 11 − 7 i ) − ( − 3 + 12 i ) (11-7i)-(-3+12i) ( 1 1 − 7 i ) − ( − 3 + 1 2 i )

14 − 19 i 14-19i 1 4 − 1 9 i

13 − 19 i 13-19i 1 3 − 1 9 i

What is the simplified form of ( − 9 + 5 i ) + ( 3 − 2 i ) (-9+5i)+(3-2i) ( − 9 + 5 i ) + ( 3 − 2 i )

− 12 + 31 i -12+31i − 1 2 + 3 1 i

− 11 + 7 i -11+7i − 1 1 + 7 i

In a number line, what does it represent?

Greater or equal to -2 but less that or equal to 6

Greater than -2 but less than 6

greater than 6 but less than -2

Greater or equal to 6 but less than or equal to -2

Quadratics Test Review

Authored by Katie Harris

Mathematics, Other

9th - 12th Grade

Used 1+ times

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MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

(5, -4)

(-5, -4)

(-15, -4)

(15, -4)

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the axis of symmetry for the following equation?
y=3x²-6x+5

x=-6

x=1

x=-1

x=2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

John throws a ball upward at a speed of 40 feet per second from a platform that is 20 feet high. The height of the ball is given by the function h(t) = -16t² + 40t + 20, where t is the time in seconds. What is the maximum height that the ball reaches?

A. 45 ft.

B. 50 ft.

C. 60 ft.

D. 55 ft.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Is the graph concave up or down?
f(x) = -(x + 3)² - 5

concave up

concave down

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the axis of symmetry for
f(x) = 2x²- 8x + 15.

x = -4

x = 2

y = 4

y = -4

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Quadratics Test Review

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

What is the axis of symmetry for the following equation?
y=3x²-6x+5

John throws a ball upward at a speed of 40 feet per second from a platform that is 20 feet high. The height of the ball is given by the function h(t) = -16t² + 40t + 20, where t is the time in seconds. What is the maximum height that the ball reaches?

Is the graph concave up or down?
f(x) = -(x + 3)² - 5

Find the axis of symmetry for
f(x) = 2x²- 8x + 15.

What is the vertex?

Does this graph have a maximum or minimum value?

What is the equation for axis of symmetry?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Quadratics Test Review

If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?

What is the axis of symmetry for the following equation?y=3x2-6x+5

John throws a ball upward at a speed of 40 feet per second from a platform that is 20 feet high. The height of the ball is given by the function h(t) = -16t2 + 40t + 20, where t is the time in seconds. What is the maximum height that the ball reaches?

Is the graph concave up or down? f(x) = -(x + 3)2 - 5

Find the axis of symmetry for f(x) = 2x2- 8x + 15.

What is the vertex?

Does this graph have a maximum or minimum value?

What is the equation for axis of symmetry?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

What is the axis of symmetry for the following equation?
y=3x²-6x+5

John throws a ball upward at a speed of 40 feet per second from a platform that is 20 feet high. The height of the ball is given by the function h(t) = -16t² + 40t + 20, where t is the time in seconds. What is the maximum height that the ball reaches?

Is the graph concave up or down?
f(x) = -(x + 3)² - 5

Find the axis of symmetry for
f(x) = 2x²- 8x + 15.