IM2_Matrix 2025_Cycle 5 Prep_A.SSE.3b

Which equation includes the minimum or maximum value of ${f(x)}$

as a number that appears in the equation?

Part A: Three equations that all represent the same function

Part B: Select the maximum value of

_{Make sure to answer both Parts A and B.}

Given the equation $y=x^{2}+6x-3$, select the equivalent equation in vertex form.

A quadratic equation is given as

Enter the function ${f(x)=x^2-8x+4}$ in the form ${f(x)=a(x-h)^2+k}$, where ${a,h}$, and ${k}$ are constants.

The profit a company makes selling an item (in thousands of dollars) depends on the price of the item in dollars. If x is the price of the item, then three equivalent forms for the profit are:

Standard Form: 2x^{2}+24x-54

Factored Form: 2(x-3)(x-9)

Vertex Form: 2(x-6)^{2}+18

Which form is the most useful for finding the price that gives the maximum profit?

Enter the minimum value of {f(x)=x^2+6x+12}.

Which equation includes the minimum or maximum value of {f(x)} as a number that appears in the equation?