NC Math 2 Unit 1 part 1 Check

Front

What is a transformation of the parent function y = x² when the equation is y = (x - 2)³ + 4?

Back

Shift right 2 and shift up 4.

Front

If f(x) = x², what is g(x) if it is transformed to g(x) = (x - 3)²?

Back

g(x) = (x - 3)² represents a shift left 3.

Front

Which function is the most narrow: f(x) = 3x², g(x) = -2x², h(x) = 0.5x², or a(x) = 12x²?

Back

a(x) = 12x² is the most narrow.

Front

What is the result of multiplying (3x - 6)(7x + 7)?

Back

21x² - 21x - 42.

Front

What is the range of the graph of y = x² + 1?

Back

[1, ∞).

Front

What does it mean for a function to be 'narrower' than another?

Back

A function is narrower if it has a larger coefficient in front of x².

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you determine the direction of a parabola?

Back

If the coefficient of x² is positive, it opens upwards; if negative, it opens downwards.

Front

What is the effect of adding a constant outside the squared term in a quadratic function?

Back

It shifts the graph vertically.

Front

What is the effect of subtracting a constant inside the squared term in a quadratic function?

Back

It shifts the graph horizontally.