ACT Practice #5

Front

What is the parent function of the square root function?

Back

f(x) = √x

Front

How do you represent a reflection across the y-axis in a function?

Back

By replacing x with -x in the function.

Tags

CCSS.HSF.BF.B.3

Front

What does a horizontal shift to the right by 2 units look like in a function?

Back

Replace x with (x - 2) in the function.

Front

What does a vertical shift down by 3 units look like in a function?

Back

Subtract 3 from the function's output.

Front

What is the solution to the system of equations x + 5y = -27 and -2x - 5y = 24?

Back

(3, -6)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

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

Back

Set f(x) = 0 and solve for x.

Tags

CCSS.HSF-IF.C.7A

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Tags

CCSS.HSA-REI.B.4B

Front

How do you determine the number of real solutions of a quadratic equation?

Back

By evaluating the discriminant (b² - 4ac). If it's positive, there are 2 solutions; if zero, 1 solution; if negative, no real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the process to solve a cubic equation like x^3 + 3x^2 - x - 3 = 0?

Back

Use factoring, synthetic division, or numerical methods to find the roots.

Tags

CCSS.HSA-REI.B.4B

Front

How do you evaluate a polynomial function at a specific value, such as f(-1) for f(x) = 122x^5 - 21x^4?

Back

Substitute -1 into the function and simplify.

Tags

CCSS.HSF.IF.A.2