Understanding Quadratic Functions

This video provides an overview of quadratic functions, focusing on identifying key components such as coefficients A, B, and C. It explains how to determine the graph's orientation and find the vertex. The video also covers calculating X and Y intercepts, graphing the parabola, and understanding the domain and range. Finally, it discusses intervals where the function is increasing or decreasing.

What are the values of the coefficients A, B, and C in the quadratic function f(x) = -2x^2 + 5x + 3?

• A = 2, B = 5, C = -3

• A = -2, B = -5, C = -3

• A = 2, B = -5, C = 3

• A = -2, B = 5, C = 3

How can you determine if the parabola opens upwards or downwards?

• By checking the sign of B

• By checking the sign of C

• By checking the sign of A

• By checking the sum of A, B, and C

What is the formula for finding the axis of symmetry in a quadratic function?

• x = 2A / B

• x = B / 2A

• x = -B / 2A

• x = -B / A

What are the coordinates of the vertex for the function f(x) = -2x^2 + 5x + 3?

• (5/4, 49/8)

• (1.25, 49/8)

• (5/4, 6.125)

• (1.25, 6.125)

How do you find the x-intercepts of a quadratic function?

• Find the vertex and use it

• Use the axis of symmetry

• Set x = 0 and solve for y

• Set y = 0 and solve for x

What are the x-intercepts of the function f(x) = -2x^2 + 5x + 3?

• (0, -1/2) and (0, 3)

• (-1/2, 0) and (3, 0)

• (0, 1/2) and (0, -3)

• (1/2, 0) and (-3, 0)

What is the y-intercept of the function f(x) = -2x^2 + 5x + 3?

• (0, 3)

• (0, -2)

• (0, 5)

• (0, 0)

What is the domain of any quadratic function?

• All real numbers

• All positive numbers

• All negative numbers

• Numbers between -1 and 1

What is the range of the function f(x) = -2x^2 + 5x + 3?

• y ≥ 3

• y ≥ 6.125

• y ≤ 6.125

• y ≤ 3

On which interval is the function f(x) = -2x^2 + 5x + 3 increasing?

• From 5/4 to infinity

• From negative infinity to 5/4

• From 0 to 3

• From -3 to 0