How can you tell whether a parabola opens up or opens down by looking at the equation?

The value of "a" tells you the direction of the opening. If a > 0, the graph opens up. If a < 0 the graph opens down.

The vertex tells you the direction of the opening

Does the equation open up or down? Y = -3x 2 +7x - 2

Neither; it opens to the right.

How can you determine the y-intercept of the graph of a quadratic function?

"c" is the constant and this will be the value of y when x = 0. The y-intercept is the point (0,c)

Throw a dart at the y-axis and the point where it lands is the y-intercept

Parabolas don't have a y-intercept

Does the equation open up or down? Y = -3x 2 +7x - 2

Neither; it opens to the right.

What is the vertex of a parabola?

The point the line of symmetry goes through

The point that is the same distance from both x-ints

What is the relationship between the vertex and the x-intercepts?

the vertex is the same distance from both points

the vertex is closer to one of them

There is no special relationship

What is the arrow pointing at? How can you use this value?

The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum

The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum

The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry

The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

Algebra 1 4.1.1 Introduction to Quadratics

Authored by Esteban Rodriguez

Mathematics

9th Grade

Used 1+ times

Algebra 1 4.1.1 Introduction to Quadratics

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does this open upwards or downwards?
y= -x² -4x -5

down

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does this open upwards or downwards?
y= -3x² + 6x - 6

down

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of b?
y= 4x² -x +6

-1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of a?
y= -3x² + 6x - 6

-3

-6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Down

Left

Right

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(19, 0)

(121, 0)

(0, 19)

(0, 121)

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following equations matches standard form of a quadratic?

ax + by = c

y = a(x - h)² + k

y = ax² + bx + c

y = mx + b

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Algebra 1 4.1.1 Introduction to Quadratics

Does this open upwards or downwards?
y= -x² -4x -5

Does this open upwards or downwards?
y= -3x² + 6x - 6

What is the value of b?
y= 4x² -x +6

What is the value of a?
y= -3x² + 6x - 6

Which of the following equations matches standard form of a quadratic?

Label the Graph with the Correct Key Features.
1. (a) 2. (b)
3. (c) 4. (d)

What is the equation for the line of symmetry of the function f(x)=x²-4x+3? (Use your calculator)

What's the y-intercept of y = 3x²- 6x + 4

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra 1 4.1.1 Introduction to Quadratics

Does this open upwards or downwards?y= -x2 -4x -5

Does this open upwards or downwards?y= -3x2 + 6x - 6

What is the value of b?y= 4x2 -x +6

What is the value of a?y= -3x2 + 6x - 6

Which of the following equations matches standard form of a quadratic?

Label the Graph with the Correct Key Features.1. ​ (a) 2. ​ (b) ​ 3. ​ (c) ​ 4. ​ (d)

What is the equation for the line of symmetry of the function f(x)=x2-4x+3? (Use your calculator)

What's the y-intercept of y = 3x2- 6x + 4

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Does this open upwards or downwards?
y= -x² -4x -5

Does this open upwards or downwards?
y= -3x² + 6x - 6

What is the value of b?
y= 4x² -x +6

What is the value of a?
y= -3x² + 6x - 6

Label the Graph with the Correct Key Features.
1. (a) 2. (b)
3. (c) 4. (d)

What is the equation for the line of symmetry of the function f(x)=x²-4x+3? (Use your calculator)

What's the y-intercept of y = 3x²- 6x + 4