Unit 5&6 Review Day 1

Front

What is the formula for the axis of symmetry of a quadratic equation in standard form, y = ax^2 + bx + c?

Back

Front

How do you model exponential growth in an equation?

Back

Exponential growth can be modeled with the equation y = a(1 + r)^x, where a is the initial amount, r is the growth rate, and x is time.

Tags

CCSS.HSF-LE.A.1A

Front

What type of function is represented by the equation y = 7(5/4)^x?

Back

This is an example of Exponential Growth.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential decay function?

Back

An exponential decay function can be represented as y = a(1 - r)^x, where a is the initial amount and r is the decay rate.

Tags

CCSS.HSF-IF.C.8B

Front

In the context of a quadratic function, what does the vertex represent?

Back

The vertex represents the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

What is the significance of the y-intercept in a quadratic equation?

Back

The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0.

Tags

CCSS.HSF-IF.C.7A

Front

How can you determine if a function is increasing or decreasing?

Back

A function is increasing if its derivative is positive and decreasing if its derivative is negative over an interval.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when a quantity increases over time, while exponential decay occurs when a quantity decreases over time.

Tags

CCSS.HSF-IF.C.8B

Front

How do you find the maximum height of a projectile modeled by a quadratic function?

Back

The maximum height can be found by evaluating the function at the vertex, which occurs at x = \frac{-b}{2a}.