Functions Review Quizziz

Quadratic functions f & g are represented in two different ways as shown. Which statement about the graphs of the two functions is true?

 $f\left(x\right)=-\left(x-5\right)^2+3$  

• They intersect at a total of two points.

• The y-intercept of f is greater than the y-intercept of g. 

• They show that f is decreasing and g is increasing between x = 1 & x = 2.

• They show that f has a maximum value of 3 & g has a minimum value of -4.

 $g\left(x\right)=\left(\frac{3}{2}\right)^x$  

Exponential function g is defined above & exponential function h is graphed. Which statement about the graphs of the two functions is not true?

• g(x) = h(-x)

• Both functions are always decreasing

• Both functions have the same  y-intercept

• The values of both functions are always positive

 $g\left(x\right)=x^2-6x+10$  

The graph shows the function f(x). Another function g(x) is shown above. Which function has an axis of symmetry at a greater distance from the y-axis? 

• f(x)

• g(x)

 $f\left(x\right)=2x^2-x-10$  

Alisha compared the zeros of f(x) to the zeros of the function whose graph is given. What is the value of the smallest zero of the two functions?

• -10

• -4

• -2

• 1

If the function  $f\left(x\right)=\sqrt{x}$  is transformed into  $f\left(x\right)=\sqrt{x}+6$  , which effect will this have on the graph of the original function?

• The graph will shift up 6 units.

• The graph will shift down 6 units.

• The graph will shift to the left 6 units.

• The graph will shift to the right 6 units.

 $y_1=-6x^2-3$ 

The equation for y1 can be graphed in the coordinate plane. Changing the equation to y2 makes which statement true?

 $y_2=-6x^2-5$  

• The graph is now narrower.

• The graph is now opening upward.

• The graph has now moved down the y-axis.

• The graph now has a new axis of symmetry.

 $f\left(x\right)=x^2+3,$   $g\left(x\right)=\left(x-2\right)^2+3$  

What would be the difference between the graph of f(x) & g(x)?

• g(x) would shift up two units

• g(x) would shift left two units

• g(x) would shift right two units

• g(x) would shift down two units

 $f\left(x\right)=3^x,\ \ \ g\left(x\right)=2\left(3\right)^x-3$  

f(x) is transformed into g(x). Which statement describes how f(x) will change?

• The graph will shift down 3 units & will stretch vertically by a factor of 2.

• The graph will shift down 3 units & will stretch horizontally by a factor of 2.

• The graph will shift to the left 3 units & will stretch vertically by a factor of 2.

• The graph will shift to the left 3 units & will stretch horizontally by a factor of 2.

 $f\left(x\right)=14x^3+28x^2-46x$  &  $g\left(x\right)=2x+7$  
Which is the solution set to the equation given below?
 $\frac{1}{12}f\left(x\right)=g\left(x\right)$  

• {-3, 0, 1}

• {-3, -1, 2}

• {-2, 1, 3}

• {1, 5, 11}

Two curves are described by the functions given. At what coordinates (x, y) do the two curves intersect on a graph?

 $y=2x^3\ \ \&\ \ y=4x^2$  

• (1, 2)

• (1, 4)

• (2, 16)

• (3, 26)